Exponent in one of the variables

• Autorzy: Mityushev, V.
• Języki publikacji: EN

Abstrakty

EN

A periodicity functional equation of one complex variable which characterizes the exponential function is discussed. This functional equation can be generalized to equation for functions depending on two complex variables. It is conjectured that the second functional equation also characterizes the exponent. Applications to representations of complex continuous elementary functions are discussed.

Słowa kluczowe

PL

funkcja wykładnicza; funkcje elementarne; funkcja ciągła; równanie funkcyjne

EN

exponential function; elementary functions; continuous function; functional equation

• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2007
• Tom: Vol. 12
• Strony: 77-79
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Mityushev, V.

• Department of Mathematics, Pedagogical Academy, ul. Podchorążych 2, 30-084 Kraków, Poland,

Bibliografia

• [1] V. I. Arnold, Arnold's Problems, Springer and Phasis, pp. 168-170, 2005.
• [2] V. Mityushev, The ℘-function of Weierstrass is not topologically conjugated to exponent, Proc. Int. Conf. "Education, Science and Economics at Universities. Integration to International Educational Area", Plock, Poland, 2006.