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Special Functions, Stieltjes Transforms and Infinite Divisibility

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inferredcites →https://doi.org/10.1016/0304-4149(73)90008-2openalex-snapshot
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inferredcites →https://doi.org/10.1016/1385-7258(72)90011-xopenalex-snapshot
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inferredcites →https://doi.org/10.1016/c2013-0-11254-8openalex-snapshot
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inferredcites →https://doi.org/10.1063/1.522831openalex-snapshot
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inferredcites →https://doi.org/10.1090/s0002-9904-1954-09828-2openalex-snapshot
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inferredcites →https://doi.org/10.1137/0507009openalex-snapshot
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inferredcites →https://doi.org/10.2307/3030074openalex-snapshot
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inferredcites →https://doi.org/10.4153/cjm-1977-119-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/0471667196.ess0299openalex-snapshot
Generalized Gamma Convolutions
inferred← citeshttps://doi.org/10.1002/0471667196.ess0299.pub2openalex-snapshot
Generalized Gamma Convolutions
inferred← citeshttps://doi.org/10.1002/9781118445112.stat00945openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/mana.201100299openalex-snapshot
Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
inferred← citeshttps://doi.org/10.1006/jmaa.1997.5771openalex-snapshot
Theq-Laguerre Polynomials and Related Moment Problems
inferred← citeshttps://doi.org/10.1007/978-1-4612-2948-3_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4939-1106-6_12openalex-snapshot
On Completely Monotonic and Related Functions
inferred← citeshttps://doi.org/10.1007/978-3-030-22700-5_5openalex-snapshot
Inheritance in Multivariate Subordination
inferred← citeshttps://doi.org/10.1007/978-3-319-23138-9_1openalex-snapshot
Classes of Infinitely Divisible Distributions and Examples
inferred← citeshttps://doi.org/10.1007/978-3-540-31343-4openalex-snapshot
Introductory Lectures on Fluctuations of Lévy Processes with Applications
inferred← citeshttps://doi.org/10.1007/978-3-642-10395-7_7openalex-snapshot
Existence and Properties of Pseudo-Inverses for Bessel and Related Processes
inferred← citeshttps://doi.org/10.1007/978-3-642-37632-0openalex-snapshot
Fluctuations of Lévy Processes with Applications: Introductory Lectures
inferred← citeshttps://doi.org/10.1007/978-3-642-37632-0_1openalex-snapshot
Lévy Processes and Applications
inferred← citeshttps://doi.org/10.1007/978-4-431-68532-6_19openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00533713openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00538895openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01277981openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01421208openalex-snapshot
Uniqueness of principal values, complete monotonicity of logarithmic derivatives of principal solutions, and oscillation theorems
inferred← citeshttps://doi.org/10.1007/bf03025376openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0088732openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0094649openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00025-026-02716-2openalex-snapshot
The Ratio of the Generalized Marcum Functions of the First and Second Kind: Monotonicity and Bounds
inferred← citeshttps://doi.org/10.1007/s00365-002-0499-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00365-012-9171-1openalex-snapshot
Turán Type Inequalities for Tricomi Confluent Hypergeometric Functions
inferred← citeshttps://doi.org/10.1007/s10474-016-0599-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10476-021-0088-4openalex-snapshot
Turán Inequalities and Complete Monotonicity for a Class of Entire Functions
inferred← citeshttps://doi.org/10.1007/s10955-011-0351-3openalex-snapshot
Supersymmetric Quantum Mechanics with Lévy Disorder in One Dimension
inferred← citeshttps://doi.org/10.1007/s13163-022-00439-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s41478-025-01008-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0021-9045(88)90100-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(82)90248-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(86)90297-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(89)90031-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0377-0427(93)90143-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-044450896-6.50013-3openalex-snapshot
Multifactor Stochastic Variance Models in Risk Management: Maximum Entropy Approach and Lévy Processes*
inferred← citeshttps://doi.org/10.1016/j.jat.2016.09.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jat.2020.105484openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.05.074openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129800openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spl.2005.04.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spl.2005.04.025openalex-snapshot
A note on self-decomposability of stable process subordinated to self-decomposable subordinator
inferred← citeshttps://doi.org/10.1016/s0167-7152(01)00110-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0167-7152(03)00153-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0001867800000434openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0001867800008582openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0001867800010685openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0013091508001016openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0021900200014765openalex-snapshot
Continued Fraction Analysis of the Duration of an Excursion in an M/M/∞ System
inferred← citeshttps://doi.org/10.1017/s0305004100055912openalex-snapshot
Special functions, infinite divisibility and transcendental equations
inferred← citeshttps://doi.org/10.1023/a:1013913827667openalex-snapshot
Analysis of the M/M/1 Queue with Processor Sharing via Spectral Theory
inferred← citeshttps://doi.org/10.1023/a:1019100617896openalex-snapshot
On the area swept under the occupation process of an M/M/1 queue in a busy period
inferred← citeshttps://doi.org/10.1023/a:1019199306934openalex-snapshot
On a random variable associated with excursions in an M/M/∞ system
inferred← citeshttps://doi.org/10.1063/1.5003479openalex-snapshot
Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders
inferred← citeshttps://doi.org/10.1080/03461238.1979.10413718openalex-snapshot
On generalized gamma and generalized negative binomial convolutions. Part II
inferred← citeshttps://doi.org/10.1080/03610920903289226openalex-snapshot
Isotropic Random Fields with the Von Kármán–Whittle Type Correlation Structure
inferred← citeshttps://doi.org/10.1080/10652460108819360openalex-snapshot
Completely monotonic functions
inferred← citeshttps://doi.org/10.1080/15326340600878560openalex-snapshot
MatG Random Matrices
inferred← citeshttps://doi.org/10.1088/0951-7715/23/12/009openalex-snapshot
Exact multiplicity of nematic states for an Onsager model
inferred← citeshttps://doi.org/10.1088/1751-8113/46/1/015001openalex-snapshot
Invariant β-Wishart ensembles, crossover densities and asymptotic corrections to the Marčenko–Pastur law
inferred← citeshttps://doi.org/10.1090/proc/13878openalex-snapshot
On complete monotonicity of certain special functions
inferred← citeshttps://doi.org/10.1090/proc/16549openalex-snapshot
Exponential bounds for the logarithmic derivative of Whittaker functions
inferred← citeshttps://doi.org/10.1090/proc/16562openalex-snapshot
Infinite divisibility of the Whittaker distribution
inferred← citeshttps://doi.org/10.1090/proc/16728openalex-snapshot
Monotonicity rules for the ratio of two function series and two integral transforms
inferred← citeshttps://doi.org/10.1090/qam/736509openalex-snapshot
Some monotonicity results for ratios of modified Bessel functions
inferred← citeshttps://doi.org/10.1090/s0002-9939-1982-0652449-9openalex-snapshot
An Infinitely Divisible Distribution Involving Modified Bessel Functions
inferred← citeshttps://doi.org/10.1090/s0002-9939-1990-0993753-9openalex-snapshot
Complete Monotonicity of Modified Bessel Functions
inferred← citeshttps://doi.org/10.1090/tran/8748openalex-snapshot
Convolution of beta prime distribution
inferred← citeshttps://doi.org/10.1093/oso/9780198797319.001.0001openalex-snapshot
Stochastic Processes and Random Matrices
inferred← citeshttps://doi.org/10.1093/oso/9780198797319.003.0011openalex-snapshot
Impurity models and products of random matrices
inferred← citeshttps://doi.org/10.1109/jsac.2018.2864417openalex-snapshot
Regularized Zero-Forcing Precoding-Aided Adaptive Coding and Modulation for Large-Scale Antenna Array-Based Air-to-Air Communications
inferred← citeshttps://doi.org/10.1109/saci66288.2025.11030203openalex-snapshot
Bounds for an Integral Involving Whittaker Functions of the Second Kind
inferred← citeshttps://doi.org/10.1109/tsp.2004.842186openalex-snapshot
Linear combinations of space-time covariance functions and variograms
inferred← citeshttps://doi.org/10.1111/1467-9868.00282openalex-snapshot
Non-Gaussian Ornstein–Uhlenbeck-based Models and Some of Their Uses in Financial Economics
inferred← citeshttps://doi.org/10.1112/s0025579300010913openalex-snapshot
Singularities of bessel‐zeta functions and Hawkins' polynomials
inferred← citeshttps://doi.org/10.1137/s0036141092228556openalex-snapshot
Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials
inferred← citeshttps://doi.org/10.1214/09-ss041openalex-snapshot
Distributional properties of means of random probability measures
inferred← citeshttps://doi.org/10.1214/10-aihp390openalex-snapshot
Excursions of diffusion processes and continued fractions
inferred← citeshttps://doi.org/10.1214/aop/1024404505openalex-snapshot
Some Brownian functionals and their laws
inferred← citeshttps://doi.org/10.1214/aop/1176994890openalex-snapshot
A General Result on Infinite Divisibility
inferred← citeshttps://doi.org/10.1214/ejp.v4-52openalex-snapshot
The Law of the Maximum of a Bessel Bridge
inferred← citeshttps://doi.org/10.1215/ijm/1255987146openalex-snapshot
On some strange summation formulas
inferred← citeshttps://doi.org/10.12700/aph.12.2.2015.2.14openalex-snapshot
Sturm–Liouville Problem and I–Bessel Sampling
inferred← citeshttps://doi.org/10.2140/pjm.2026.343.261openalex-snapshot
Infinitely divisible modified Bessel distributions
inferred← citeshttps://doi.org/10.2307/3314682openalex-snapshot
The H‐function with applications in statistics and other disciplines. by A.M. Mathai and R.K. Saxena. Wiley Eastern, New Delhi, and Halsted Press, New York, 1978. xii + 192 pp. U.S. $9.95. ISBN 0‐470‐26380‐6
inferred← citeshttps://doi.org/10.2969/jmsj/06841615openalex-snapshot
Hitting times of Bessel processes, volume of the Wiener sausages and zeros of Macdonald functions
inferred← citeshttps://doi.org/10.3390/math10203903openalex-snapshot
Integral Representations of Ratios of the Gauss Hypergeometric Functions with Parameters Shifted by Integers
inferred← citeshttps://doi.org/10.4064/sm173-1-2openalex-snapshot
Hitting distributions of geometric Brownian motion
inferred← citeshttps://doi.org/10.48550/arxiv.0801.1910openalex-snapshot
The origin of infinitely divisible distributions: from de Finetti's problem to Levy-Khintchine formula
inferred← citeshttps://doi.org/10.48550/arxiv.1201.0311openalex-snapshot
On the Law of Free Subordinators
inferred← citeshttps://doi.org/10.48550/arxiv.math/0305126openalex-snapshot
A Supplement To The Bose-Dasgupta-Rubin (2002) Review Of Infinitely Divisible Laws And Processes
inferred← citeshttps://doi.org/10.48550/arxiv.math/9307217openalex-snapshot
Some results on co-recursive associated Laguerre and Jacobi polynomials
inferred← citeshttps://doi.org/10.5036/bfsiu1968.19.7openalex-snapshot
On the Pearson type VII distribution and the singular integral transformation
inferred← citeshttps://doi.org/10.5036/bfsiu1968.27.33openalex-snapshot
On the F-distributions and confluent hypergeometric functions
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