Integrals Involving The Multivariable Beth-Function

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-62 Number-1
Year of Publication : 2018
Authors : Frédéric Ayant
  10.14445/22315373/IJMTT-V62P508

MLA

MLA Style: Frédéric Ayant "Integrals Involving The Multivariable Beth-Function" International Journal of Mathematics Trends and Technology 62.1 (2018): 46-54.

APA Style: Frédéric Ayant (2018). Integrals Involving The Multivariable Beth-Function. International Journal of Mathematics Trends and Technology, 62(1), 46-54.

Abstract
Certain integrals involving multivariable Beth-function have been obtained in terms of multivariable Beth-function. The given integrals include a large number of integrals involving special functions as particular cases.

References
[1] F. Ayant, An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT), 31(3) (2016), 142-154.
[2] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[3] A. Erdelyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Tables of integrals transforms, Vol I, McGraw-Hill, New York (1954),
[4] A.M. Mathai and R.K. Saxena, Generalized hypergeometric functions with applications in Statistics and physical sciences.
[5] T.M. MacRobert, Expressions for generalized hypergeometric function in multiple series, Proc. Royal. Edinburg 59( 1939), 141-144.
[6] T.M. MacRobert, Beta function formulae and integrals involving E-functions , Math. Annalen 142, 450452, 1961
[7]T.M. MacRobert, Barnes integral as a sum of E-function, Math. Ann 147(1962), 240-243.
[8] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[9] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[10] H.M. Srivastava and H.L. Manocha, A Treatise of generating functions, Ellis Horwood Ltd, Chichester, U.K. 1984.
[11] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables. Comment certain of. Math. Univ. St. Paul. 24 (1975),119-137.
[12] H.M. Srivastava and R.Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25 (1976), 167-197.

Keywords
Multivariable Beth-function, multiple integral contours, finite integrals.