# On a Class of Generalized Elliptic-type Integrals

Garg, Mridula; Katta, Vimal; Kalla, S.

Serdica Mathematical Journal (2001)

- Volume: 27, Issue: 3, page 219-232
- ISSN: 1310-6600

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topGarg, 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 -

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