Results 41 to 50 of about 8,523 (167)

On Mathieu-Type Series with (p,ν)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds

Mathematics, 2023
Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,ν)-extended Gauss hypergeometric function.
Rakesh K. Parmar, Tibor K. Pogány, S. Saravanan   +2 more
doaj   +1 more source

A new family of shape invariantly deformed Darboux-P\"oschl-Teller potentials with continuous \ell [PDF]

, 2010
We present a new family of shape invariant potentials which could be called a ``continuous \ell version" of the potentials corresponding to the exceptional (X_{\ell}) J1 Jacobi polynomials constructed recently by the present authors.
Andrews G E, Darboux G, Darboux G, Gendenshtein L E, Gómez-Ullate D, Ho C-L Odake S Sasaki R, Odake S, Quesne C, Quesne C, R Sasaki, S Odake, Sasaki R, Szegö G   +12 more
core   +3 more sources

An extension of beta function, its statistical distribution, and associated fractional operator

Advances in Difference Equations, 2020
Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola, Rupakshi Mishra Pandey, Ritu Agarwal, Sunil Dutt Purohit   +3 more
doaj   +1 more source

Pricing Step Options under the CEV and other Solvable Diffusion Models [PDF]

, 2013
We consider a special family of occupation-time derivatives, namely proportional step options introduced by Linetsky in [Math. Finance, 9, 55--96 (1999)].
Campolieti, Giuseppe, Makarov, Roman N., Wouterloot, Karl   +2 more
core   +1 more source

Computing hypergeometric functions rigorously [PDF]

, 2016
We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
core   +5 more sources

Extende beta, hypergeometric and confluent hypergeometric functions

, 2019
15 ...
Khan, N. U., Usman, T., Aman, M.
openaire   +2 more sources

A new generalization of confluent hypergeometric function and whittaker function

, 2018
In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15].
N. Khan, T. Usman, M. Ghayasuddin
semanticscholar   +1 more source

PT-symmetric deformations of Calogero models [PDF]

, 2008
We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero–Moser–Sutherland ...
Andreas Fring, Assis P E G, Bender C M, Dieudonne J, Figueira de Morisson Faria C, Fring A, Fring A, Fring A, Geyer H, Humphreys J E, Humphreys J E, Krejcirik D, MacDonald A D, Miloslav Znojil, Mostafazadeh A, Musumbu D P, Perelomov A M, Znojil M, Znojil M (guest editor)   +18 more
core   +5 more sources

Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time [PDF]

, 2011
We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation.
Fernández-García, Nicolás, Rosas-Ortiz, Oscar   +1 more
core   +5 more sources

Generalized Laplace transform with matrix variables

International Journal of Mathematics and Mathematical Sciences, 1987
In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel.
R. M. Joshi, J. M. C. Joshi
doaj   +1 more source