Automorphic Function
المؤلف:
Ford, L
المصدر:
Automorphic Functions. New York: McGraw-Hill, 1929.
الجزء والصفحة:
...
27-11-2018
660
Automorphic Function
An automorphic function 
of a complex variable 
is one which is analytic (except for poles) in a domain 
and which is invariant under a countably infinite group of linear fractional transformations (also known as Möbius transformations)
Automorphic functions are generalizations of trigonometric functions and elliptic functions.
REFERENCES:
Ford, L. Automorphic Functions. New York: McGraw-Hill, 1929.
Hadamard, J.; Gray, J. J.; and Shenitzer, A. Non-Euclidean Geometry in the Theory of Automorphic Forms. Providence, RI: Amer. Math. Soc., 1999.
Shimura, G. Introduction to the Arithmetic Theory of Automorphic Functions. Princeton, NJ: Princeton University Press, 1971.
Siegel, C. L. Topics in Complex Function Theory, Vol. 2: Automorphic Functions and Abelian Integrals. New York: Wiley, 1988.
الاكثر قراءة في التحليل العقدي
اخر الاخبار
اخبار العتبة العباسية المقدسة
