Eulerian integral involving the multivariable Aleph-function II

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2016 by IJMTT Journal
Volume-35 Number-2
Year of Publication : 2016
Authors : F.Y Ayant
  10.14445/22315373/IJMTT-V35P512

MLA

F.Y. Ayant "Eulerian integral involving the multivariable Aleph-function II", International Journal of Mathematics Trends and Technology (IJMTT). V35(2):86-92 July 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, we derive a key Eulerian integral involving the multivariable Aleph-function, Aleph-function of one variable and general class of polynomials of several variables. This general Eulerian integral formula is show to provide the key formula from which numerous others results for the multivariable Aleph-function, I-function of several variables and Aleph-function of two variables.

References
[1] Ayant F.Y. An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT). 2016 Vol 31 (3), page 142-154.
[2] Chaurasia V.B.L and Singh Y. New generalization of integral equations of fredholm type using Aleph-function Int. J. of Modern Math. Sci. 9(3), 2014, p 208-220.
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.
[5] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[6] H.M. Srivastava and Hussain M.A. Fractional integration of the H-function of several variables. Comp. Math. Appl. 30(9), (1995), page 73-85.
[7] Südland N.; Baumann, B. and Nonnenmacher T.F. , Open problem : who knows about the Aleph-functions? Fract. Calc. Appl. Anal., 1(4) (1998): 401-402.

Keywords
multivariable Aleph-function, Eulerian integral, Multivariable I-function, Aleph-function of two variables, general class of polynomial,Aleph-function.