Jump to Main Content
PubAg
Main content area
A Trivial Extension of Saxena’s IFunction
 Author:
 Saxena, V. P.
 Source:
 National Academy science letters 2015 v.38 no.3 pp. 243245
 ISSN:
 0250541X
 Subject:
 equations, geometry, mathematical theory
 Abstract:
 In this communication it is shown that the so called generalization of Saxena’s Ifunction, named as Aleph function, is nothing but another form of the Ifunction which is the subsequent generalization of Fox’s Hfunction and last generalization of Hypergeometric functions. This implies that the said generalization in the form of Aleph function is redundant. Later on, other authors have also studied this so called generalization of Ifunction. All such studies are in fact, studies of the earlier function (Ifunction) unless or otherwise it indicates some new properties of both Ifunction and Aleph function. This later function does not reveal any significant change either in the definition or conditions of existence. The denominator of the complex integrand under contour integral, which is in the form of a finite summation, has an additional constant coefficient in each term. This coefficient can be expressed as a quotient of gamma functions. Hence the same can be absorbed in the definition of Ifunction.
 Agid:
 4407903

http://dx.doi.org/10.1007/s4000901403308