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Special Functions : Selected Articles

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Special Functions : Selected Articles

P.K. Banerjee

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Associate Professor, Department of Mathematics Statistics, JNV University, Jodhpur - 342 005, India Mathematics and more particularly Mathematical analysis, which in the bygone times was considered as a philosophy, has now become an indispensable tool for physicists, Associate Professor, Department of Mathematics Statistics, JNV University, Jodhpur - 342 005, India Mathematics and more particularly Mathematical analysis, which in the bygone times was considered as a philosophy, has now become an indispensable tool for physicists, engineers and applied mathematicians. This volume, unlike existing texts and monographs on special functions, is an inordinate passion of mathematical analysis, widely known as applicable analysis. Very selected articles, enveloping the applications of special functions to matrix argument, integral transforms, fractional calculus, distribution spaces, theory of Dirichlet averages, continued fractions, number theory, etceteras, constitute this volume. This book will be useful for the post-graduate students and researchers working in allied branches. Some of the Selections of the book On Some Continued Fraction Expansions for Ratios of 2Y2 -Adiga, Denis, Vasuki; Applications of Saalchutz s Theorem in Hypergeometric Transformation Involving Quarter and Unit Arguments - Qureshi, Khan, Pathan; Dirichlet Average and a New Class of Hypergeometric Function - Vyas; Generating Relations Involving Hypergeometric Functions by means of Integral Operators II - Pathan, Khan; Number Theory and Special Functions - Agarwal, Dutta; Certain Subclasses of Univalent Functions with Negative Coefficients - Joshi; On a Distributional Transform - Loonker; On Certain Distortion Theorem for Fractional Integral Operator - Kumbhat, Sharma; A General Inversion Pair II - Dalbhide, Dave; Excavating Index Transform - Purohit; Certain Results Involving q-Series and Continued Fractions - Denis, Singh; Generalized pFq Distribution of Matrix Argument and its Applications in Reliability Theory - Sethi, Poonam; Some Generating Relations of Orthogonal Functions - Hussain; On a Basic Analogue of G-Functio - Yadav, Vyas; Theory of Operators for the Modulus Function Space - Galiz; and many others.

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