Results 71 to 80 of about 22,610 (167)
Functional Equations, Wave Propagation and Invariant Imbedding [PDF]
Richard Bellman, Robert E. Kalaba
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Cosine and Sine Addition and Subtraction Law with an Automorphism
Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g ...
Aserrar Youssef, Elqorachi Elhoucien
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Book Review: Theory of Functionals and of Integral and Integro-differential Equations [PDF]
Rudolph E. Langer
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On the Baxter functional equation
The author offers a shorter way of finding all continuous real solutions of the functional equation [cf. \textit{P. Volkmann} and \textit{H. Weigel}, ibid. 27, 135-149 (1984; Zbl 0544.39006)] \(f[f(x)y + f(y)x-xy] = f(x)f(y)\) (all but one type turn out to be piecewise linear).
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On linear functional equations in locally convex linear topological spaces [PDF]
Mieczysław Altman
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A solution of a simple functional equation as a basis for readily obtaining certain fundamental formulas in the theory of elliptic functions [PDF]
G. W. Starcher
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Partial Sums of the Hurwitz and Allied Functions and Their Special Values
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
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Expansions in generalized Appell polynomials, and a class of related linear functional equations [PDF]
I. M. Sheffer
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