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An Application of Hypergeometric Functions in the Evaluation of a Gradshteyn-Ryzhik Integral

International Journal of Mathematics and Computer Science
In this article, we evaluate an interesting integral from the famous book of integrals by Gradshteyn and Ryzhik, which, in its seventh edition, includes an incorrect result. We derive the correct value. Moreover, we highlight the application of the hypergeometric functions formalism in the evaluation of this integral.
Carreno, Juan Carlos Lopez   +2 more
openaire   +2 more sources

Applications Involving Hypergeometric-Type Functions

2009
12.1 Introduction In this final chapter we illustrate the use of the general family of hypergeometric functions in various applications. Although we have chosen specific examples from the fields of statistical communication theory, fluid mechanics, and random fields, the techniques we use are sufficiently general that they apply to a wider range of ...
openaire   +1 more source

The physical applications of hypergeometric functions

1946
Thesis (M.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1946. ; Bibliography: leaf [21]. ; by Bruce Plympton Bogert. ; M.S.
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Multiple Hypergeometric Functions and Applications

International Statistical Review / Revue Internationale de Statistique, 1979
M. Rosenblatt-Roth, Harold Exton
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q-hypergeometric functions and applications

Mathematics and Computers in Simulation, 1984
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Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications

Indian Journal of Pure and Applied Mathematics, 2022
Miao-Kun Wang   +2 more
exaly  

A certain generalized Pochhammer symbol and its applications to hypergeometric functions

Applied Mathematics and Computation, 2014
Ayse Gul Filik, I Onur Kiymaz
exaly  

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