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Excerpt from On a Certain Class of Functions Analogous to the Theta Functions
Moreover, as M. Appell shows, these conditions are sufficient to determine q) (x, y, z) to within a constant factor.
The object of the present paper is to investigate the properties of this function and of functions derived from it, as well as of others similar to it, pointing out, as far as possible, their analogy to those of the G-functions. As is not surprising, some of the properties of the latter seem to have no analogues in the case of the functions here considered. In such instances it has been endeavored to assign the reason, as far as possible.
The great difficulty throughout the preparation of this thesis has been the utter poverty of known theorems holding for functions of more than one complex variable. As a consequence, this work has been rather of a tentative nature.
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On a Certain Class of Functions Analogous to the Theta Functions Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332061594
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On a Certain Class of Functions Analogous to the Theta Functions
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Paperback. Condizione: New. Print on Demand. This book investigates a little-known mathematical function with striking similarities to the Gauss hypergeometric function. While the latter has been subject to extensive study, the analogous function detailed within this book has been largely unexplored. The author draws inspiration from the Gauss hypergeometric function to uncover new and remarkable properties of this new function and its derivatives. The investigation reveals themes of periodicity, quasi-periodicity, and the absence of certain relations that would connect it to the Gauss hypergeometric function. The author's work significantly advances our understanding of this unexplored mathematical function and opens avenues for its application to broader fields of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781332061594_0
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