Corrigendum to "On trigonometric functional equations of rectangular type" in Aequationes Math. 53 (1997), pp. 36-53

1998 ◽  
Vol 56 (1-2) ◽  
pp. 199-200
Author(s):  
J. K. Chung ◽  
Pl. Kannappan ◽  
P. K. Sahoo
Keyword(s):  
Functional Equations ◽  
Aequationes Math

scholarly journals Gelfand Pairs and Generalized d'Alembert's and Cauchy's Functional Equations

2005 ◽  
Vol 12 (2) ◽  
pp. 207-216
Author(s):  
Belaid Bouikhalene ◽  
Samir Kabbaj
Keyword(s):  
Functional Equations ◽  
Spherical Functions ◽  
Aequationes Math ◽  
Gelfand Pairs

Abstract We show that Cauchy's, d'Alembert's functional equations and their generalizations are the functional equations for bounded spherical functions associated to some Gel'fand pairs. Our results are very close to the ones obtained by Stetkær in [Aequationes Math. 48: 220–227, 1994].

Functional Equations and μ-Spherical Functions

2008 ◽  
Vol 15 (1) ◽  
pp. 1-20
Author(s):  
Mohamed Akkouchi ◽  
Belaid Bouikhalene ◽  
Elhoucien Elqorachi
Keyword(s):  
Functional Equation ◽  
Topological Group ◽  
Functional Equations ◽  
Compact Subgroup ◽  
Aequationes Math ◽  
Gelfand Pair ◽  
Locally Compact ◽  
The Matrix ◽  
The One ◽  
Locally Compact Topological Group

Abstract We will study the properties of solutions 𝑓, {𝑔𝑖}, {ℎ𝑖} ∈ 𝐶𝑏(𝐺) of the functional equation where 𝐺 is a Hausdorff locally compact topological group, 𝐾 a compact subgroup of morphisms of 𝐺, χ a character on 𝐾, and μ a 𝐾-invariant measure on 𝐺. This equation provides a common generalization of many functional equations (D'Alembert's, Badora's, Cauchy's, Gajda's, Stetkaer's, Wilson's equations) on groups. First we obtain the solutions of Badora's equation [Aequationes Math. 43: 72–89, 1992] under the condition that (𝐺,𝐾) is a Gelfand pair. This result completes the one obtained in [Badora, Aequationes Math. 43: 72–89, 1992] and [Elqorachi, Akkouchi, Bakali and Bouikhalene, Georgian Math. J. 11: 449–466, 2004]. Then we point out some of the relations of the general equation to the matrix Badora functional equation and obtain explicit solution formulas of the equation in question for some particular cases. The results presented in this paper may be viewed as a continuation and a generalization of Stetkær's, Badora's, and the authors' works.

On some functional equations related to derivations and bicircular projections in rings

2014 ◽  
Vol 49 (2) ◽  
pp. 313-331
Author(s):  
Maja Fošner ◽  
◽  
Benjamin Marcen ◽  
Nejc Širovnik ◽  
Joso Vukman ◽  
...  
Keyword(s):  
Functional Equations

Functional equations related to weightable quasi-metrics

2015 ◽  
Vol 4 (1047) ◽  
Author(s):  
M.J. Campion ◽  
E. Indurain ◽  
G. Ochoa
Keyword(s):  
Functional Equations

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Identities related to special polynomials and combinatorial numbers

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4833-4844 ◽  
Author(s):  
Eda Yuluklu ◽  
Yilmaz Simsek ◽  
Takao Komatsu
Keyword(s):  
Generating Functions ◽  
Functional Equations ◽  
Stirling Numbers ◽  
Bernoulli Numbers ◽  
Euler Numbers ◽  
Special Polynomials ◽  
Central Factorial Numbers

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.

Local equivalence of functional equations

1986 ◽  
Vol 37 (4) ◽  
pp. 406-408
Author(s):  
L. P. Kuchko
Keyword(s):  
Functional Equations ◽  
Local Equivalence

Wilson's functional equations on groups

1995 ◽  
Vol 49 (1) ◽  
pp. 252-275 ◽  
Author(s):  
Henrik Stetkaer
Keyword(s):  
Functional Equations ◽  
Functional Equations On Groups

Gamma Function and Its Functional Equations

Resonance ◽  
2021 ◽  
Vol 26 (3) ◽  
pp. 367-386
Author(s):  
Ritesh Goenka ◽  
Gopala Krishna Srinivasan
Keyword(s):  
Gamma Function ◽  
Functional Equations
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