On a Class of Generalized Elliptic-type Integrals

Garg, Mridula, Katta, Vimal, and Kalla, S.. "On a Class of Generalized Elliptic-type Integrals." Serdica Mathematical Journal 27.3 (2001): 219-232. <http://eudml.org/doc/11535>.

@article{Garg2001,
abstract = {The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class of generalized elliptic-type integrals.},
author = {Garg, Mridula, Katta, Vimal, Kalla, S.},
journal = {Serdica Mathematical Journal},
keywords = {Elliptic Integrals; Hypergeometric Functions; Integral Formulae; elliptic integrals; hypergeometric functions; integral formulas},
language = {eng},
number = {3},
pages = {219-232},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On a Class of Generalized Elliptic-type Integrals},
url = {http://eudml.org/doc/11535},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Garg, Mridula
AU - Katta, Vimal
AU - Kalla, S.
TI - On a Class of Generalized Elliptic-type Integrals
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 3
SP - 219
EP - 232
AB - The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class of generalized elliptic-type integrals.
LA - eng
KW - Elliptic Integrals; Hypergeometric Functions; Integral Formulae; elliptic integrals; hypergeometric functions; integral formulas
UR - http://eudml.org/doc/11535
ER -