Results 111 to 120 of about 3,527,371 (263)

Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples

Partial Differential Equations in Applied Mathematics
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their ...
Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani   +4 more
doaj   +1 more source

Non‐Central Wishart Random Matrices in Structural Dynamics: A Modal‐Basis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT This article develops a non‐parametric stochastic computational model for linear structural dynamics based on a reduced non‐central Wishart (NCW) random matrix formulation. The objective is to represent uncertainty in the mass and stiffness matrices while preserving the matrix properties required for modal and frequency‐domain analysis ...
Alan Das Mannoosseril, Sondipon Adhikari, H. Murat Panayirci   +2 more
wiley   +1 more source

On some generalized multiple hypergeometric functions of matrix arguments

, 2002
Upadhyaya, Lalit Mohan; Dhami, H.S.. (2002). On some generalized multiple hypergeometric functions of matrix arguments.
Dhami, H.S., Upadhyaya, Lalit Mohan
core  

A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
doaj   +1 more source

An identity for simplifying certain generalized hypergeometric functions

, 1975
In this paper, an identity is proved in which certain generalized hypergeometric functions N P F N Q +
Thomas J. Osler
core   +1 more source

Two-Sided Inequalities for Generalized Hypergeometric Function

, 2007
We find two-sided inequalities for the generalized hypergeometric function with positive parameters restricted by certain additional conditions. Inequalities are derived as corollaries of a theorem asserting the monotony of the quotient of two ...
Sitnik, S. M, Karp, D
core   +3 more sources

$L$-function of CM elliptic curves and generalized hypergeometric functions [PDF]

In this paper, we express special values of the $L$-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch's element with Ross's element in the ...
Nemoto, Yusuke
core  

Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions

Mathematics
A sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary, Basem Frasin, Ibtisam Aldawish   +2 more
doaj   +1 more source

Generalized Bernstein functions

, 2023
A class of functions called generalized Bernstein functions is studied. The fundamental properties of this class are given and its relation to generalized Stieltjes functions via the Laplace transform is investigated.
Pedersen, Henrik L., Koumandos, Stamatis
core  

On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

Mathematics
In this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
doaj   +1 more source