On a Class of Generalized Elliptic-type Integrals
Serdica Mathematical Journal, Tome 27 (2001) no. 3, pp. 219-232
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.
Keywords:
Elliptic Integrals, Hypergeometric Functions, Integral Formulae
@article{SMJ2_2001_27_3_a2,
author = {Garg, Mridula and Katta, Vimal and Kalla, S.},
title = {On a {Class} of {Generalized} {Elliptic-type} {Integrals}},
journal = {Serdica Mathematical Journal},
pages = {219--232},
year = {2001},
volume = {27},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a2/}
}
Garg, Mridula; Katta, Vimal; Kalla, S. On a Class of Generalized Elliptic-type Integrals. Serdica Mathematical Journal, Tome 27 (2001) no. 3, pp. 219-232. http://geodesic.mathdoc.fr/item/SMJ2_2001_27_3_a2/