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hypergeometric approach to integral transforms and convolutions

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Published by Kluwer Academic in Dordrecht, Boston .
Written in English

Subjects:

  • Integral transforms,
  • Hypergeometric functions,
  • Convolutions (Mathematics)

Book details:

Edition Notes

Includes bibliographical references (p. 295-310) and indexes.

Statementby Semen B. Yakubovich and Yurii F. Luchko.
SeriesMathematics and its applications ;, v. 287, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 287.
ContributionsLuchko, Yurii F.
Classifications
LC ClassificationsQA432 .Y35 1994
The Physical Object
Paginationxi, 324 p. ;
Number of Pages324
ID Numbers
Open LibraryOL1090658M
ISBN 100792328566
LC Control Number94014888

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The Hypergeometric Approach to Integral Transforms and Convolutions. based on the corresponding properties of Mellin convolution transforms. The hypergeometric type representations of these. The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of Read more. Get this from a library! The Hypergeometric Approach to Integral Transforms and Convolutions. [Semen B Yakubovich; Yurii F Luchko] -- This volume deals with the theory and applications of integral transforms and convolutions of certain classes of integral, integrodifferential equations, and operational calculus. An . Preface The aim of this book is to develop a new approach which we called the hyper­ geometric one to the theory of various integral transforms, convolutions, and their.

The Night Fire. Michael Connelly. € €. Oct 08,  · The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of lemoisduvinnaturel.com Edition: Softcover Reprint of The Original 1st Ed. The Hypergeometric Approach to Integral Transforms and Convolutions. Yakubovich S.B., Luchko Y.F. () Convolutions of the General Index Transforms. In: The Hypergeometric Approach to Integral Transforms and Convolutions. Mathematics and Its Applications, vol Springer, DordrechtAuthor: Semen B. Yakubovich, Yurii F. Luchko. In mathematics, the Gaussian or ordinary hypergeometric function 2 F 1 (a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting lemoisduvinnaturel.com is a solution of a second-order linear ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this.

SIAM Journal on Mathematical Analysis > Volume 13, Issue 2 > / Integral Transforms and Special Functions , () Binomial convolutions and hypergeometric identities. Rendiconti del Circolo Matematico di Palermo , Inversion Techniques and Combinatorial lemoisduvinnaturel.com by: Many evaluations of terminating hypergeometric series at arguments other than 1 are given. Some are equivalent to some unpublished work of Gosper, while others are new. In particular, two new evaluations of ${}_7 F_6 $’s with four parameters are stated. The main technique is a change of variables formula which is equivalent to the Lagrange inversion lemoisduvinnaturel.com by: In this paper, we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representations, inequalities, properties of the Padé table and the properties of the generalized Cited by: NEW INVERSION, CONVOLUTION AND TITCHMARSH’S THEOREMS FOR THE HALF-HARTLEY TRANSFORM The familiar reciprocal pair of the Hartley transforms Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions. Mathe-matics and its Applications, Kluwer Academic Publishers Group, Dordrecht ().