Results 31 to 40 of about 64,006 (257)

Infinite series containing quotients of central binomial coefficients [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
By making use of the Wallis' integral formulae and integration by parts, two classes of infinite series are evaluated, in closed form, in terms of π and Riemann zeta function.
Zhiling Fan
doaj   +1 more source

The moments of infinite series.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1988
Consider a conditionally convergent series \(L(u)=\sum_{\gamma \in S}c(\gamma)e^{i\gamma u}\) \((u\in {\mathbb R})\) where \(S=\{\gamma \}\) is a sequence of real numbers with the limit infinity of \(| \gamma |\). Consider \[ M_{\lambda}(U)=(1/U)\int^{U}_{0}| L(u)|^{\lambda}\, du\quad (\lambda >0). \] Under suitable conditions on \(c(\gamma)\), we show
openaire   +2 more sources

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

open access: yesFEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

TRAIL‐PEG‐Apt‐PLGA nanosystem as an aptamer‐targeted drug delivery system potential for triple‐negative breast cancer therapy using in vivo mouse model

open access: yesMolecular Oncology, EarlyView.
Aptamers are used both therapeutically and as targeting agents in cancer treatment. We developed an aptamer‐targeted PLGA–TRAIL nanosystem that exhibited superior therapeutic efficacy in NOD/SCID breast cancer models. This nanosystem represents a novel biotechnological drug candidate for suppressing resistance development in breast cancer.
Gulen Melike Demirbolat   +8 more
wiley   +1 more source

Two criteria for trascendental sequences

open access: yesLe Matematiche, 2001
The concept of trascendental sequence is defined in this contribution by means of the related trascendental series. The main results are two criteria for when certain sequences are trascendental. Several applications are presented.
Jaroslav Hančl
doaj  

On the numerical solution of Fredholm-type integro-differential equations using an efficient modified Adomian decomposition method [PDF]

open access: yesMathematics and Computational Sciences
The efficiency of the Adomian decomposition method in the solution of integro-differential equations cannot be overemphasized. However, improvement of the method is needed as its drawbacks have been analyzed and reported in recent literature.
Kabiru Kareem   +2 more
doaj   +1 more source

Infinite Product Representation for the Szegö Kernel for an Annulus

open access: yesJournal of Function Spaces, 2022
The Szegö kernel has many applications to problems in conformal mapping and satisfies the Kerzman-Stein integral equation. The Szegö kernel for an annulus can be expressed as a bilateral series and has a unique zero.
Nuraddeen S. Gafai   +2 more
doaj   +1 more source

Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment

open access: yesMolecular Oncology, EarlyView.
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley   +1 more source

Some Pitfalls in Introductory Programming Courses

open access: yesInformatics in Education, 2012
This paper discusses some difficulties in teaching introductory courses to programming, paying particular attention to their mathematical nature. We consider some aspects, which have not been commented in detail in textbooks and often neglected by course
Teodosi TEODOSIEV, Anatoli NACHEV
doaj   +1 more source

Infinite Series Concerning Tails of Riemann Zeta Values

open access: yesAxioms, 2023
Infinite series involving Riemann’s zeta and Dirichlet’s lambda tails, and weighted by three harmonic-like elementary symmetric functions are examined.
Chunli Li, Wenchang Chu
doaj   +1 more source

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