caa a22 4500 605508437 CHVBK 20210128100636.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00010-013-0231-9 doi (NATIONALLICENCE)springer-10.1007/s00010-013-0231-9 On a functional equation on groups arising from the characterization of stochastic distance measures [Elektronische Daten] [Heather Hunt, Prasanna Sahoo] This work aims to determine all functions $${f, g, h, k : G \to \mathbb{C}}$$ f , g , h , k : G → C that satisfy the functional equation f(pr, qs) +g(ps, qr) = h(p,q) + k(r,s) for all p, q, r, s ∈G, where G is a group and $${\mathbb{C}}$$ C is the field of complex numbers. Springer Basel, 2013 Abelian function nationallicence bi-homomorphism nationallicence central function nationallicence divergence measure nationallicence functional equation nationallicence symmetric bi-homomorphism nationallicence Hunt Heather Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA aut Sahoo Prasanna Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA aut Aequationes mathematicae Springer International Publishing 89/3(2015-06-01), 511-528 0001-9054 89:3<511 2015 89 10 https://doi.org/10.1007/s00010-013-0231-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-013-0231-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hunt Heather Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA aut NATIONALLICENCE 700 1- Sahoo Prasanna Department of Mathematics, University of Louisville, 40292, Louisville, KY, USA aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer International Publishing 89/3(2015-06-01), 511-528 0001-9054 89:3<511 2015 89 10