Real Functions with Algebraic Addition Theorems
نویسندگان
چکیده
منابع مشابه
Exactly Solvable Chaos and Addition Theorems of Elliptic Functions
We review recent developments about a systematic method of constructing of rational mappings as ergordic transformations with nonuniform invariant measures on the unit interval I = [0, 1]. All rational ergordic mappings of I with explicit non-uniform densities can be characterized by addition theorems of elliptic functions. We call this special class of chaotic mappings exactly solvable chaos a...
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We show connections between a special type of addition formulas and a theorem of Stieltjes and Rogers. We use different techniques to derive the desirable addition formulas. We apply our approach to derive special addition theorems for Bessel functions and confluent hypergeometric functions. We also derive several addition theorems for basic hypergeometric functions. Applications to the evaluat...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1927
ISSN: 0002-9947
DOI: 10.2307/1989215