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Title: On some problems of hypergeometric Polynomials
Researcher: Naeem Ahmad
Guide(s): Abdul Hakim Khan
Keywords: Applied Mathematics
Upload Date: 19-Sep-2013
University: Aligarh Muslim University
Completed Date: 2012
Abstract: The present thesis entitled On some problems of hypergeometric polynomials is an outcome of the studies made by the author at the Department of Applied Mathematics, Aligarh Muslim University, Aligarh. The thesis consists of eight chapters. Articles, definitions and equations have been numbered chapter wise in such a way that, when read as decimals they stand in their proper order e.g., (6.5.1) refers to equation number 1 of section 5 of chapter 6. A brief review of some important special functions, some integral transforms, the definitions, notations and miscellaneous results which commonly arise in practice and explore many of their salient properties, are given in the first chapter. Chapter II introduces modified Hermite polynomials of one and two variables, The aim of the present chapter is to investigate these two polynomials and acquire some important results such as generating functions, recurrence relations, Rodrigues formula, orthogonality conditions, expansion formulae, integrals, fractional integrals, fractional derivatives, operator representations and other properties of the above polynomials.
Pagination: iv, 195p.
Appears in Departments:Department of Applied Mathematics

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01_title.pdfAttached File15.14 kBAdobe PDFView/Open
02-certificate.pdf88.87 kBAdobe PDFView/Open
03_dedications.pdf350.2 kBAdobe PDFView/Open
04_acknowledgements.pdf41.05 kBAdobe PDFView/Open
05_abstract.pdf70.87 kBAdobe PDFView/Open
06-preface.pdf59.83 kBAdobe PDFView/Open
07_table of contents.pdf64.3 kBAdobe PDFView/Open
09_chapter 1.pdf177.63 kBAdobe PDFView/Open
10_chapter 2.pdf147.97 kBAdobe PDFView/Open
11_chapter 3.pdf149.91 kBAdobe PDFView/Open
12_chapter 4.pdf175.91 kBAdobe PDFView/Open
13_chapter 5.pdf180.82 kBAdobe PDFView/Open
14_chapter 6.pdf95.02 kBAdobe PDFView/Open
15_chapter 7.pdf116.24 kBAdobe PDFView/Open
16_chapter 8.pdf125.23 kBAdobe PDFView/Open
17_bibliographies.pdf73.22 kBAdobe PDFView/Open

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