Found 2,060 Documents (Results 1–100)
Computation of integral transforms in terms of double hypergeometric series \(\psi_2\) with applications. (English) Zbl 07930824
Some families of generalized elliptic-type integrals and the associated multiple hypergeometric functions. (English) Zbl 07923319
McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions. (English) Zbl 07922380
Bounds for novel extended beta and hypergeometric functions and related results. (English) Zbl 07917604
A new generalized beta function associated with statistical distribution and fractional kinetic equation. (English) Zbl 07905405
Modified special functions: properties, integral transforms and applications to fractional differential equations. (English) Zbl 07905368
Unified probability density function involving \(\tau\)-confluent hypergeometric function and \(\tau\)-Gauss hypergeometric functions. (English) Zbl 07900759
Transient analysis of a modified differentiated vacation queueing system for energy-saving in WiMAX. (English) Zbl 07898496
MSC:
90B22
Asymptotics of the confluent hypergeometric process with a varying external potential in the super-exponential region. (English) Zbl 1543.60055
Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. (English) Zbl 07896158
A pair of pseudo-differential operators involving index Whittaker transform in \(L_2^a (\mathbb{R}_+; m_a(x) dx)\). (English) Zbl 07888061
On the Fredholm determinant of the confluent hypergeometric kernel with discontinuities. (English) Zbl 1541.37072
Towards Ulam type multi stability analysis. A novel approach for fuzzy dynamical systems. (English) Zbl 1539.33002
Studies in Systems, Decision and Control 523. Cham: Springer (ISBN 978-3-031-55563-3/hbk; 978-3-031-55566-4/pbk; 978-3-031-55564-0/ebook). xix, 571 p. (2024).
Wave packet transform and wavelet convolution product involving the index Whittaker transform. (English) Zbl 1543.42047
Reviewer: Anouar Ben Mabrouk (Monastir)
Towards a change of variable formula for “hypergeometrization”. (English) Zbl 1540.33014
Reviewer: Arakaparampil M. Mathai (Montréal)
New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral. (English) Zbl 07840121
MSC:
65Mxx
Family of integrable bounds for the logarithmic derivative of Kummer’s function. (English) Zbl 1539.33007
Reviewer: Peter Massopust (München)
Contiguity operators for the classical hypergeometric functions and their Lie algebra structure. (English) Zbl 1537.33019
One-dimensional SDEs with LPS-type singular drift coefficients and Hölder continuous diffusion coefficients. (English) Zbl 1534.60078
Coulomb Green’s function and an addition formula for the Whittaker functions. (English) Zbl 1533.33008
New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform. (English) Zbl 1534.33001
On some identities for confluent hypergeometric functions and Bessel functions. (English) Zbl 1539.33006
Reviewer: Showkat Ahmad (Sopore)
Results concerning multi-index Wright generalized Bessel function. (English) Zbl 1534.33003
Reviewer: Árpád Baricz (Cluj-Napoca)
Some finite integrals involving Mittag-Leffler confluent hypergeometric function. (English) Zbl 1534.33020
Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method. (English) Zbl 1533.34004
Representation of hypergeometric products of higher nesting depths in difference rings. (English) Zbl 1527.33003
Reviewer: Christoph Koutschan (Linz)
Uniform upper bounds and asymptotic expansions for certain index kernels. arXiv:2409.12591
Preprint, arXiv:2409.12591 [math.CA] (2024).
On bounds for ratios of contiguous hypergeometric functions. arXiv:2408.05573
Preprint, arXiv:2408.05573 [math.CA] (2024).
Parabolic cylinder functions revisited using the Laplace transform. arXiv:2407.20403
Preprint, arXiv:2407.20403 [math.CA] (2024).
Uniform asymptotic expansions for the zeros of parabolic cylinder functions. arXiv:2407.13936
Preprint, arXiv:2407.13936 [math.CA] (2024).
An Optimal Selection Problem Associated with the Poisson Process. arXiv:2406.15616
Preprint, arXiv:2406.15616 [math.PR] (2024).
On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality. arXiv:2405.14901
Preprint, arXiv:2405.14901 [math.CA] (2024).
Infinite Divisibility of the Product of Two Correlated Normal Random Variables and Exact Distribution of the Sample Mean. arXiv:2405.10178
Preprint, arXiv:2405.10178 [math.PR] (2024).
Absolute moments of the variance-gamma distribution. arXiv:2404.13709
Preprint, arXiv:2404.13709 [math.PR] (2024).
Asymptotic Expansions of the Limit Laws of Gaussian and Laguerre (Wishart) Ensembles at the Soft Edge. arXiv:2403.07628
Preprint, arXiv:2403.07628 [math.PR] (2024).
Non-integrability of the rational Sasano system of type \(A^{(2)}_4\). arXiv:2402.14351
Preprint, arXiv:2402.14351 [math-ph] (2024).
An asymptotic property on a reciprocity law for the Bettin–Conrey cotangent sum. arXiv:2402.14216
Preprint, arXiv:2402.14216 [math.NT] (2024).
Some results of extended \(\tau\)-Gauss hypergeometric function and \(\tau\)-Kummer hypergeometric function by using Wiman’s function. (English) Zbl 07874152
On some new inequalities and fractional kinetic equations associated with extended Gauss hypergeometric and confluent hypergeometric function. (English) Zbl 1540.33004
Curved Spacetime as a dispersive multiferroic medium for an electromagnetic wave: polarization and magnetization vectors in the Schwarzschild Spacetime. (English) Zbl 1536.83080
Analysis of a fluid queue driven by a queue with multiple exponential vacations and impatient customers. (English) Zbl 07816827
MSC:
60K25
Dividend payments under the risk model with stochastic premium and constant interest. (Chinese. English summary) Zbl 07809950
A really topological treatment of some aspects of Carathéodory’s theory of prime ends. (English) Zbl 1542.54008
Reviewer: Luis Javier Hernández Paricio (Logroño)
Hierarchy of curves with weakly confluent maps. (English) Zbl 1541.54021
Reviewer: K. T. Hallenbeck (Chester)
Confluent Kampé de Fériet series arising in the solutions of Cauchy problem for the degenerate hyperbolic equation of the second kind with the spectral parameter. (English) Zbl 07794418
Reviewer: Thomas Ernst (Uppsala)
Mathematical study of blood circulation and bio-chemical reaction based heat distribution problem in human dermal region. (English) Zbl 07789276
The beta-Pochhammer and its application to arbitrary threshold phase error probability of a vector in Gaussian noise. (English) Zbl 1533.33002
Vector particle with anomalous magnetic moment and electric quadruple moment in the presence of uniform electric and magnetic fields. (English) Zbl 1535.81266
Confluences of Appell’s \(F_2\) system of hypergeometric differential equations. (English) Zbl 1535.33013
Reviewer: Roberto S. Costas-Santos (Sevilla)
Extensions of multiple Lauricella and Humbert’s confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties. (English) Zbl 1532.33022
Reviewer: Dmitry Artamonov (Moskva)
Bounds for confluent Horn function \(\Phi_2\) deduced by McKay \(I_\nu\) Bessel law. (English) Zbl 1524.33030
In horizon penetrating coordinates: Kerr black hole metric perturbation, construction and completion. (English) Zbl 1533.83046
A novel beta matrix function via Wiman matrix function and their applications. (English) Zbl 1527.15006
Reviewer: Juan Luis Varona (Logroño)
A note on certain summations due to Ramanujan with application and generalization. (English) Zbl 1531.33013
A note on certain transformation formulas related to Appell, Horn and Kampé de Fériet functions. (English) Zbl 1532.33025
Reviewer: Roberto S. Costas-Santos (Sevilla)
On the generating functions and special functions associated with superoscillations. (English) Zbl 1531.81086
Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments. (English) Zbl 1523.65029
A generalization to zero-inflated hyper-Poisson distribution: properties and applications. (English) Zbl 07736143
MSC:
62-XX
Exponential bounds for the logarithmic derivative of Whittaker functions. (English) Zbl 1534.33004
Reviewer: Bujar Fejzullahu (Preševo)
Semilinear evolution models with scale-invariant friction and visco-elastic damping. (English) Zbl 1521.35120
The indefinite integrals of Meijer’s \(G\)-functions from integrating factors. (English) Zbl 1533.33021
Upper bounds and asymptotic expansion for Macdonald’s function and the summability of the Kontorovich-Lebedev integrals. (English) Zbl 1535.44007
Reviewer: D. L. Suthar (Dessie)
Exact solutions of the Schrödinger equation with a complex periodic potential. (English) Zbl 1530.81064
Certain study of generalized Apostol-Bernoulli based poly-Daehee polynomials. (English) Zbl 1533.11057
Sticky Feller diffusions. (English) Zbl 1517.60101
Minmax centered \(k\)-partitioning of trees and applications to sink evacuation with dynamic confluent flows. (English) Zbl 07704066
An alternative method to obtain analytical solutions of the time-independent Schrödinger equation. (English) Zbl 1515.97013
MSC:
97M50
The distribution of the sum of independent and non identically generalized Lindley random variables. (English) Zbl 07702525
MSC:
62-XX
\(\alpha\)-confluent-hyper-geometric stability of \(\xi\)-Hilfer impulsive nonlinear fractional Volterra integro-differential equation. (English) Zbl 1512.34132
Confluent Appell polynomials. (English) Zbl 1530.33011
Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions. (English) Zbl 1521.11006
Reviewer: Andreas Maletti (Leipzig)
Square-root boundaries for Bessel processes and the hitting times of radial Ornstein-Uhlenbeck processes. (English) Zbl 1519.60078
Reviewer: Anatoliy Swishchuk (Calgary)
On some formulas for the confluent Horn functions \(H_3^{(c)}\, (a, b, c; d; w, z)\), \(H_4^{(c)}\, (a, c; d; w, z)\) and \(H_9^{(c)}\, (a, b; c; w, z)\). (English) Zbl 1531.33026
Reviewer: Showkat Ahmad (Sopore)
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices. (English) Zbl 07681445
Stokes phenomenon and Poisson brackets in r-matrix form. (English) Zbl 1522.37071
Reviewer: Tsvetana Stoyanova (Sofia)
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