Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations
نویسندگان
چکیده
منابع مشابه
Transformations of Gauss hypergeometric functions
The paper classifies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function.
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متن کاملSome Classes of Generating Relations Associated with a Family of the Generalized Gauss Type Hypergeometric Functions
In recent years, several interesting families of generating functions for various classes of hypergeometric and generalized hypergeometric functions in one, two and more variables were investigated systematically. Here, in this sequel, we aim at establishing several (presumably) new generating relations for the generalized Gauss type hypergeometric functions which are introduced by means of som...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2007
ISSN: 0025-5645
DOI: 10.2969/jmsj/1180135503