Results 291 to 300 of about 8,284,364 (333)
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Complex Variables, Theory and Application: An International Journal, 2001
The functional equation with polynomials P1,…,Pm is related to the question when the image of a holomorphic mapping of finite order must lie in an algebraic curve of P 3, where D is the union of a hypersurface of degree two and three hyperplanes. In this paper we discuss this equation for holomorphic functions in an angular domain and show that, under ...
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The functional equation with polynomials P1,…,Pm is related to the question when the image of a holomorphic mapping of finite order must lie in an algebraic curve of P 3, where D is the union of a hypersurface of degree two and three hyperplanes. In this paper we discuss this equation for holomorphic functions in an angular domain and show that, under ...
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Acta Mathematica Scientia, 2009
Abstract In this article, the author derives a functional equation (1) η ( s ) = [ ( π 4 ) s - 1 2 2 π Γ ( 1 - s ) sin ( π s 2 ) ] η ( 1 - s ) of the analytic function η( s ) which is defined by (2) η ( s ) = 1 - s - 3 - s - 5 - s
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Abstract In this article, the author derives a functional equation (1) η ( s ) = [ ( π 4 ) s - 1 2 2 π Γ ( 1 - s ) sin ( π s 2 ) ] η ( 1 - s ) of the analytic function η( s ) which is defined by (2) η ( s ) = 1 - s - 3 - s - 5 - s
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On a functional differential equation
Lobachevskii Journal of Mathematics, 2017© 2017, Pleiades Publishing, Ltd.Conditions for the existence and uniqueness of a solution to a problem for a functional differential equation are presented. A special case of this equation is a functional differential equation derived previously by the authors for the distribution density of the brightness of light in interstellar space in the case of
Evlampiev N., Sidorov A., Filippov I.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1965
Introduction. The object of this note is to give a proof of the following theorem on the solution of an important functional equation.
A. R. Reddy, C. T. Rajagopal
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Introduction. The object of this note is to give a proof of the following theorem on the solution of an important functional equation.
A. R. Reddy, C. T. Rajagopal
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ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
, 2012In this paper, for any fixed integer $n\;>\;m\;{\geq}\;1$, we investigate the generalized Hyers-Ulam stability of the following quadratic functional equation in -Banach spaces, where $0\;
Sang-Baek Lee, M. Han, W. Park
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Mathematical Notes of the Academy of Sciences of the USSR, 1969
The translational functional equation (1) with right-hand side analytic in a finite convex region D is investigated. It is proved that a solution exists which is analytic in a finite convex region G1 determined by G. A corollary of this result is the existence of analytic solutions of differential-difference equations of finite order and of difference ...
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The translational functional equation (1) with right-hand side analytic in a finite convex region D is investigated. It is proved that a solution exists which is analytic in a finite convex region G1 determined by G. A corollary of this result is the existence of analytic solutions of differential-difference equations of finite order and of difference ...
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Stability of a quartic functional equation
Journal of Fixed Point Theory and Applications, 2018S. Pinelas, V. Govindan, K. Tamilvanan
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A functional equation arising in dynamic programming
Aequationes Mathematicae, 2017S. Kaliaj
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Kannappan’s functional equation on semigroups with involution
, 2017H. Stetkær
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