Results 101 to 110 of about 12,448 (236)

Solution of abel‐type hypergeometric integral equation

open access: yesMathematical Modelling and Analysis, 1997
The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are ...
A. A. Kilbas   +3 more
doaj   +1 more source

Classical elliptic hypergeometric functions and their applications

open access: yes, 2007
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of the "classical" special functions.
Spiridonov, V. P.
core   +1 more source

Some transformations and integral representations of horn's functions

open access: yesRevista Técnica de la Facultad de Ingeniería, 2011
  Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases.
V. Kim Tuan, S. L. Kalla
doaj  

Potential of a Spheroid with Generalized Exponential Density Distribution

open access: yesOpen Astronomy, 2015
The internal potential of an inhomogeneous layered spheroid with a small ellipticity and general exponential density distribution is derived in an analytical form.
Kondratyev B. P., Kireeva E. N.
doaj   +1 more source

A procedure for generating infinite series identities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj   +1 more source

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