caa a22 4500 605508747 CHVBK 20210128100638.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00010-014-0310-6 doi (NATIONALLICENCE)springer-10.1007/s00010-014-0310-6 Lundberg Anders Flogstav. 5 D, 752 73, Uppsala, Sweden aut Some methods for a Sutô-Aczél project—I [Elektronische Daten] [Anders Lundberg] By differentiations we derive from the functional equation $$\varphi (F(x)+G(y))+\psi (H(x)+K(y))-\omega (x+y)=0 \quad \quad \quad \quad (1)$$ φ ( F ( x ) + G ( y ) ) + ψ ( H ( x ) + K ( y ) ) - ω ( x + y ) = 0 ( 1 ) a functional-differential equation, which does not contain $${\varphi ,\psi ,\omega }$$ φ , ψ , ω . If a list [F, G, H, K] of analytic functions satisfies the latter equation, then there are analytic $${\varphi ,\psi ,\omega }$$ φ , ψ , ω such that $${[F,G,H,K,\varphi ,\psi ,\omega]}$$ [ F , G , H , K , φ , ψ , ω ] satisfies (1). This gives rise to a procedure for obtaining all analytic solutions of (1). A few applications of this procedure are shown. Springer Basel, 2014 Affine function nationallicence Analytic function nationallicence Equivalent solutions nationallicence Lambert W-function nationallicence List nationallicence Maple worksheet nationallicence Rank (linear) nationallicence Solution nationallicence Sutô sum nationallicence Symmetries nationallicence Aequationes mathematicae Springer Basel 89/4(2015-08-01), 957-980 0001-9054 89:4<957 2015 89 10 https://doi.org/10.1007/s00010-014-0310-6 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/s00010-014-0310-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lundberg Anders Flogstav. 5 D, 752 73, Uppsala, Sweden aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/4(2015-08-01), 957-980 0001-9054 89:4<957 2015 89 10