On two functional equations with involution on groups related to sine and cosine functions
| LEADER | caa a22 4500 | ||
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| 003 | CHVBK | ||
| 005 | 20210128100638.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0309-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0309-z | ||
| 245 | 0 | 0 | |a On two functional equations with involution on groups related to sine and cosine functions |h [Elektronische Daten] |c [Allison Perkins, Prasanna Sahoo] |
| 520 | 3 | |a Let G be a group, $${\mathbb{C}}$$ C be the field of complex numbers, z 0 be any fixed, nonzero element in the center Z(G) of the group G, and $${\sigma : G \to G}$$ σ : G → G be an involution. The main goals of this paper are to study the functional equations $${f(x{\sigma}yz_{0}) - f(xyz_{0}) = 2f(x)f(y)}$$ f ( x σ y z 0 ) - f ( x y z 0 ) = 2 f ( x ) f ( y ) and $${f(x{\sigma}yz_{0}) + f(xyz_{0}) = 2f(x)f(y)}$$ f ( x σ y z 0 ) + f ( x y z 0 ) = 2 f ( x ) f ( y ) for all $${x, y \in G}$$ x , y ∈ G and some fixed element z 0 in the center Z(G) of the group G. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Abelian function |2 nationallicence | |
| 690 | 7 | |a involution |2 nationallicence | |
| 690 | 7 | |a Kannappan's functional equation |2 nationallicence | |
| 690 | 7 | |a Van Vleck's functional equation |2 nationallicence | |
| 690 | 7 | |a group character |2 nationallicence | |
| 700 | 1 | |a Perkins |D Allison |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | |
| 700 | 1 | |a Sahoo |D Prasanna |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1251-1263 |x 0001-9054 |q 89:5<1251 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0309-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0309-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Perkins |D Allison |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sahoo |D Prasanna |u Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1251-1263 |x 0001-9054 |q 89:5<1251 |1 2015 |2 89 |o 10 | ||