In a recent paper, Srivastava et al. (2012) [23] introduced and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. The main object of this pa...
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In a recent paper, Srivastava et al. (2012) [23] introduced and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. The main object of this paper is to investigate several generating functions for a certain class of incompletehypergeometric polynomials associated with them. Various (known or new) special cases and consequences of the results presented in this paper are also considered. (C) 2012 Elsevier Inc. All rights reserved.
This paper develops a calculus around a new beta-Pochhammer symbol of two variables, (a,b) m,n based on the Beta weighting t(a-1) (1-t) (b-1). The approach is a natural rising factorial formulation that offers a new w...
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This paper develops a calculus around a new beta-Pochhammer symbol of two variables, (a,b) m,n based on the Beta weighting t(a-1) (1-t) (b-1). The approach is a natural rising factorial formulation that offers a new way to express hypergeometricfunctions of two variables. The results are implemented to solve the problem of finding the phase error probability of a vector perturbed by Gaussian noise with an arbitrary phase threshold in closed form for the first time, in terms of the incomplete confluent hypergeometric function F-1(1). This has been an unresolved problem in angle modulation dating back to the 1950s. Closedform solutions are developed around the lower and upper incomplete Humbert second Phi(2) confluent hypergeometric function of two variables using the new incomplete beta-Pochhammer calculus.
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