Open AccessON GENERAL EULERIAN INTEGRAL FORMULAS AND FRACTIONAL INTEGRATION
Author(s) -
Kirti Gupta,
Sumit Goyal,
R. K. Laddha
Publication year - 1999
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.30.1999.4222
Subject(s) - mathematics , volume integral , eulerian path , product (mathematics) , daniell integral , improper integral , multiple integral , multivariable calculus , operator (biology) , functional integration , fractional calculus , polynomial , fourier integral operator , function (biology) , surface integral , calculus (dental) , mathematical analysis , integral equation , medicine , biochemistry , chemistry , geometry , dentistry , repressor , lagrangian , control engineering , evolutionary biology , biology , transcription factor , engineering , gene
In the present work, we evaluate a unified Eulerian type integral whose integrand involves the product of a polynomial system and the multivariable H-function having general arguments. Our integral formula encompasses a very large number of integrals and provides interesting unifieation and extensions of several known (e.g., [1], [3], [4], [5], [9], [11], etc.) and new results. Since the integral has been given in a compact form free from infinite series, it is likely to prove useful in applications. Three special cases of the main integral (which are also sufficiently general in nature and are of interest in themselves) have also been given. Finally, the main integral formula has been expressed as a fractional integral operator to make it more useful in applications.