One of the celebrated formulas Ramanujan is about odd zeta values, which has been studied by many mathematicians over years. A notable extension was given Grosswald in 1972. Following Ramanujan’s idea, we rediscovered a Ramanujan-type identity for $$\zeta (2k+1)$$ that first established Malurkar and later Berndt using different techniques. In current paper, extend aforementioned to derive new $...

A numerical and analytical study of the role of exponentially truncated Lévy flights in the superdiffusive propagation of fronts in reaction-diffusion systems is presented. The study is based on a variation of the Fisher-Kolmogorov equation where the diffusion operator is replaced by a lambda -truncated fractional derivative of order alpha , where 1lambda is the characteristic truncation length...

P lotkin demonstrated how two diierent parameter-passing mechanisms could be explained by two diierent translations from the-calculus into the calculus of the continuation passing style 12]. Each of his transformations makes the control operations of each particular mechanism explicit in the transformed term, so that reduction of the transformed term by either mechanism produces equivalent resu...

14-3-3 Proteins may function as adapters or scaffold in signal-transduction pathways. We found previously that protein kinase C-zeta (PKC-zeta) can phosphorylate and activate Raf-1 in a signalling complex [van Dijk, Hilkmann and van Blitterswijk (1997) Biochem. J. 325, 303-307]. We report now that PKC-zeta-Raf-1 interaction is mediated by 14-3-3 proteins in vitro and in vivo. Co-immunoprecipita...

We propose a new thermal freezeout mechanism which results in dark matter masses exceeding the unitarity bound by many orders of magnitude, without violating perturbative or modifying standard cosmology. The process determining relic abundance is $\chi \zeta^\dagger \to \zeta \zeta$, where $\chi$ candidate. For $ m_\zeta < m_\chi 3 m_\zeta$, cosmologically long-lived and scatters against expone...

let $x$ be a reflexive banach space, $t:xto x$ be a nonexpansive mapping with $c=fix(t)neqemptyset$ and $f:xto x$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. in this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences t...

The size of a lambda term’s type assignment is traditionally interpreted as the number of involved typing rules, since that interpretation corresponds to the complexity of underlying logical proof. However, it can be also assessed using some finergrained measures such as the number of involved type declarations, or even as the sum of the sizes of all types in involved type declarations. These q...

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. contraction termed as a Suzuki-Proinov generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, are triangular ??admissible pairs, demonstrated in the setting modular b...