The Hypergeometric Approach to Integral Transforms and Convolutions
نام عام مواد
[Book]
نام نخستين پديدآور
by Semen B. Yakubovich, Yurii F. Luchko.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Dordrecht
نام ناشر، پخش کننده و غيره
Springer Netherlands
تاریخ نشرو بخش و غیره
1994
فروست
عنوان فروست
Mathematics and Its Applications, 287
یادداشتهای مربوط به مندرجات
متن يادداشت
Preface. 1. Preliminaries. 2. Mellin Convolution Type Transforms with Arbitrary Kernels. 3. H- and G-Transforms. 4. The Generalized H- and G-Transforms. 5. The Generating Operators of Generalized H-Transforms. 6. The Kontorovich--Lebedev Transform. 7. General W-Transform and its Particular Cases. 8. Composition Theorems of Plancherel Type for Index Transforms. 9. Some Examples of Index Transforms and their New Properties. 10. Applications to Evaluation of Index Integrals. 11. Convolutions of Generalized H-Transforms. 12. Generalization of the Notion of Convolution. 13. Leibniz Rules and their Integral Analogues. 14. Convolutions of Generating Operators. 15. Convolution of the Kontorovich--Lebedev Transform. 16. Convolutions of the General Index Transforms. 17. Applications of the Kontorovich--Lebedev Type Convolutions to Integral Equations. 18. Convolutional Ring Calpha. 19. The Fields of the Convolution Quotients. 20. The Cauchy Problem for Erdelyi--Kober Operators. 21. Operational Method of Solution of Some Convolution Equations. References. Author Index. Subject Index. Notations.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Functions, Special.
موضوع مستند نشده
Integral equations.
موضوع مستند نشده
Integral transforms.
رده بندی کنگره
شماره رده
QA432
نشانه اثر
.
B974
1994
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )