ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley +1 more source
Exact expressions and numerical evaluation of average evolvability measures for characterizing and comparing G matrices. [PDF]
Watanabe J.
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Splitting Hypergeometric Functions over Roots of Unity [PDF]
We examine hypergeometric functions in the finite field, p-adic and classical settings. In each setting, we prove a formula which splits the hypergeometric function into a sum of lower order functions whose arguments differ by roots of unity. We provide multiple applications of these results, including new reduction and summation formulas for finite ...
arxiv
Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition. [PDF]
Bershtein M, Feigin B, Trufanov A.
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Zhong S+15 more
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Mainali KP, Slud E.
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Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Garoufalidis S+3 more
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Information densities for block-fading MIMO channels [PDF]
Alfano, Giuseppa+3 more
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Sen S.
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The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators. [PDF]
Faulhuber M, Gumber A, Shafkulovska I.
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