The Hypergeometric Approach To Integral Transforms And Convolutions Book

	Preface
1	Preliminaries	1
2	Mellin Convolution Type Transforms With Arbitrary Kernels	15
3	H- and G-transforms	41
4	The Generalized H- and G-transforms	59
5	The Generating Operators of Generalized H-transforms	69
6	The Kontorovich-Lebedev Transform	79
7	General W-transform and its Particular Cases	109
8	Composition Theorems of Plancherel Type for Index Transforms	139
9	Some Examples of Index Transforms and Their New Properties	149
10	Applications to Evaluation of Index Integrals	167
11	Convolutions of Generalized H-transforms	173
12	Generalization of the Notion of Convolution	183
13	Leibniz Rules and Their Integral Analogues	189
14	Convolutions of Generating Operators	205
15	Convolution of the Kontorovich-Lebedev Transform	213
16	Convolutions of the General Index Transforms	229
17	Applications of the Kontorovich-Lebedev type Convolutions to Integral Equations	241
18	Convolutional Ring [actual symbol not reproducible]	253
19	The Fields of the Convolution Quotients	265
20	The Cauchy Problem for Erdelyi-Kober Operators	277
21	Operational Method of Solution of some Convolution Equations	287
	References	295
	Author Index	311
	Subject Index	317
	Notations	321