Statistical process control : the Deming paradigm and beyond

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The main aim of this research paper is to obtain fifty new class of integrals involving generalized hypergeometric function in the form of two master formulas. One hundred interesting integrals have been obtained as special cases of our main findings.


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The results are established with the help of generalized Watson's summation theorem obtained earlier by Lavoie, et al. Bailey, Generalized hypergeometric series, Cambridge tracts in mathematics and mathematical physics, Cambridge Eng.

Andrews, R. Askey, R. Roy, Special functions. Lavoie, F.

Submission history

Grondin, and A. Rathie, of whipple's theorem on the sum of a 3f2 1 , Journal of Computational and Applied Mathematics, 72 2 Grondin, A.

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Rathie, K. Arora, of dixon's theorem on the sum of a 3f2 1 , mathematics of computation, Rathie, of watsons theorem on the sum of a 3f2, Indian J. Stanton , Applications of q-Lagrange inversion to basic hypergeometric series , Trans. Gould and L.

Hsu , Some new inverse series relations , Duke Math. Press, Cambridge, Verma and V. Journals Seminars Books Theses Authors.

Between and. Compositio Mathematica Volume 91 no. Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series. Chu, Wenchang.

Basic Hypergeometric Series (Encyclopedia of Mathematics and its Applications)

Compositio Mathematica, Volume 91 no. References [1] G. MR [7] W.