Results 71 to 80 of about 22,610 (167)

Cosine and Sine Addition and Subtraction Law with an Automorphism

open access: yesAnnales Mathematicae Silesianae
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
doaj   +1 more source

Remarks on functional equations [PDF]

open access: gold, 1914
A. R. Schweitzer
openalex   +1 more source

On the Baxter functional equation

open access: yesAequationes Mathematicae, 1996
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).
openaire   +3 more sources

On a functional equation [PDF]

open access: yesApplications of Mathematics, 1971
openaire   +1 more source

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

open access: yesMathematics
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
doaj   +1 more source

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