# Search results

Journal of Applied Analysis > 2022 > Vol. 28, nr 1 > 91--93

Mathematical Methods in the Applied Sciences > 44 > 14 > 11469 - 11481

Journal of Fixed Point Theory and Applications > 2020 > 22 > 1 > 1-14

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg > 2019 > 89 > 2 > 203-208

*p*-adic

*L*-functions for elliptic curves at supersingular primes

*p*. The results include a relationship between the leading and sub-leading terms (for which we use ideas of Wuthrich and Bianchi), a parity result of orders of vanishing, and invariance of Iwasaswa invariants under conjugate twists of the

*p*-adic

*L*-functions.

Aequationes mathematicae > 2019 > 93 > 6 > 1275-1291

*M*is a monoid, $$n\ge 2$$ n ≥ 2 , and $$g_j$$ g j (for $$j=1,\ldots ,n$$ j = 1 , … , n ) are linear combinations...

Theoretical and Mathematical Physics > 2019 > 200 > 2 > 1205-1221

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

*ζ*function. The functional equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces the computational cost. Additionally, a quasisymmetric form of the aforementioned functional equation is derived (symmetric up to one complex multiplicative...

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-11

Aequationes mathematicae > 2019 > 93 > 2 > 345-350

*n*greater than 1 satisfying certain functional equations similar to those considered in the one variable case.

Proceedings - Mathematical Sciences > 2019 > 129 > 1 > 1-12

Aequationes mathematicae > 2019 > 93 > 4 > 711-734

*p*, which depends on a parameter $$\alpha $$ α . The main motivation of this study is $$G^{(\alpha )}(X)$$ G ( α ) ( X ) being an inverse, in an appropriate...

Functional Analysis and Its Applications > 2018 > 52 > 3 > 228-231

*g*be a linear combination with quasipolynomial coefficients of shifts of the Jacobi theta function and its derivatives in the argument. All entire functions

*f*: ℂ → ℂ satisfying

*f*(

*x*+

*y*)

*g*(

*x*−

*y*) =

*α*

_{1}(

*x*)

*β*

_{1}(

*y*)+· · ·+

*α*

_{r}(

*x*)

*β*

_{r}(

*y*) for some

*r*∈ ℕ and

*α*

_{j},

*β*

_{j}: ℂ → ℂ are described.

Functional Analysis and Its Applications > 2018 > 52 > 3 > 224-227

Aequationes mathematicae > 2019 > 93 > 3 > 557-561

*X*into a normed space

*Y*, satisfying the functional equation $$\begin{aligned} f\left( y-\frac{\rho '_+(x,y)}{\Vert x\Vert ^2}x\right) =f(y)-\frac{\rho '_+(f(x),f(y))}{\Vert f(x)\Vert...

Results in Mathematics > 2018 > 73 > 4 > 1-13

The Journal of Analysis > 2019 > 27 > 3 > 837-849

Results in Mathematics > 2018 > 73 > 3 > 1-13

*f*,

*g*) of functions with $$f\ne 0$$ f≠0 satisfies the sine addition formula $$f(xy)=f(x)g(y)+g(x)f(y)$$ f(xy)=f(x)g(y)+g(x)f(y) on a semigroup only if $$g = (\mu _1 + \mu _2)/2$$ g=(μ1+μ2)/2 where $$\mu _1$$ μ1 and $$\mu _2$$ μ2 are multiplicative functions. Here we solve the variant $$f(xy)=g_1(x)h_1(y)+g(x)h_2(y)$$ f(xy)=g1(x)h1(y)+g(x)h2(y) for four unknown functions...

Journal of Fixed Point Theory and Applications > 2018 > 20 > 3 > 1-11

*p*-norm. To overcome the modulus of concavity greater than 1 and the discontinuity of quasi-norms we use the squeeze inequality presented in an explicit revision of Aoki–Rolewicz Theorem [13, Theorem 1]. As illustrations, we prove an extension of the stability of a mixed additive and quadratic...