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Published **1966**
by Cambridge University Press in Cambridge .

Written in English

**Edition Notes**

Statement | by Lucy Joan Slater. |

The Physical Object | |
---|---|

Pagination | M8.xiv,274. Ill. |

Number of Pages | 274 |

ID Numbers | |

Open Library | OL22287580M |

ISBN 10 | 052106483X |

OCLC/WorldCa | 636422190 |

Book Description The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used functions of analysis (Besse] Functions, Legendre Functions, etc.) are special cases of the general by: A central theme is the development of the Laplace transform in this context and its application to spaces of functions associated with hypergeometric functions. Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarksy principle may be given a cohomological by: 2 Background on hypergeometric functions In this section, we will introduce properties of the generalized hypergeometric function that will be exploited in this project. The motivation for computing hypergeometric functions will be discussed, with details given of some of the practical applications of these functions. Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarksy principle which expresses the analytic properties of a certain proto-gamma function.

Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences. Authors; A. M. Mathai; R. K. Saxena; Book. Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Computable representations of a G-function in the. Hundreds of thousands of mathematical results derived at Wolfram Research give the Wolfram Language unprecedented strength in the transformation and simplification of hypergeometric functions. This allows hypergeometric functions for the first time to take their place as a practical nexus between many special functions\[LongDash]and makes possible a major new level of algorithmic calculus. CoNTEMPORARY MATHEMATICS Hypergeometric Functions on Domains of Positivity, Jack Polynomials, The paper used in this book is acid-free and falls within the guidelines Generalized hypergeometric functions and Laguerre polynomials in two variables ZHIMIN YAN The density of λ will go in terms of a H-function. The H-function is more or less the most generalized special function in real scalar variable case and it is defined by the following Mellin.

hypergeometric functions for those who want to have a quick idea of some main facts on hypergeometric functions. It is the startig of a book I intend to write on 1-variable hyper-geometric functions. As time progressed this informal note attracted increasing Size: KB. hypergeometric functions of Gauss, Horn, Appell, and Lauricella. We will emphasize the alge-braic methods of Saito, Sturmfels, and Takayama to construct hypergeometric series and the connection with deformation techniques in commutative algebra. We end with a brief discussion of the classiﬁcation problem for rational hypergeometric functions. Internal Report SUF–PFY/96–01 Stockholm, 11 December 1st revision, 31 October last modiﬁcation 10 September Hand-book on STATISTICAL. Summary: Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph is concerned with the Boyarsky principle which expresses the analytic properties of a certain proto-gamma function.

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