Results 61 to 70 of about 1,210,874 (307)
CONVOLUTION SUM OF RAMANUJAN'S SUM
, 2022 This article is the result of calculating the convolution of Ramanujan's sum and natural number multiplied. Among these results, special values are expressed by Euler and Bernoulli functions.
Hwan Jo, Gye +2 more
openaire +2 more sources
A New Identity Involving the Chebyshev Polynomials
Mathematics, 2018 In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev ...
Yixue Zhang, Zhuoyu Chen
doaj +1 more source
Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points
Mathematics, 2020 The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms
Muhammad Arif +4 more
doaj +1 more source
The spectral decomposition of shifted convolution sums over number fields
, 2016 Let π1, π2 be cuspidal automorphic representations of GL2 over a number field F with Hecke eigenvalues λπ1(m),λπ2(m). For nonzero integers l1,l2∈F and compactly supported functions W1,W2 on F×∞, a spectral decomposition of the shifted convolution sum ∑
P. Maga
semanticscholar +1 more source
An inequality for the distance between densities of free convolutions
, 2013 This paper contributes to the study of the free additive convolution of probability measures. It shows that under some conditions, if measures $\mu_i$ and $\nu_i, i=1,2$, are close to each other in terms of the L\'{e}vy metric and if the free convolution
Kargin, V.
core +1 more source
Classes of Meromorphic Functions Defined by the Hadamard Product
International Journal of Mathematics and Mathematical Sciences, 2010 The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution).
J. Dziok
doaj +1 more source
FEBS Letters, EarlyView.To explore the impact of the overexpression of the multidrug‐transporter P‐glycoprotein (ABCB1) on membrane fluidity, we compared the transversal gradient of mobility and microviscosity in plasma membranes of drug‐sensitive Chinese hamster ovary cells (AuxB1) and their multidrug‐resistant derivatives (B30) using the fluorescent n‐(9‐anthroyloxy) fatty ...
Roger Busche +2 more
wiley +1 more source
Shifted convolution sums for $GL(3)\times GL(2)$
, 2012 For the shifted convolution sum $$ D_h(X)=\sum_{m=1}^\infty\lambda_1(1,m)\lambda_2(m+h)V(\frac{m}{X}) $$ where $\lambda_1(1,m)$ are the Fourier coefficients of a $SL(3,\mathbb Z)$ Maass form $\pi_1$, and $\lambda_2(m)$ are those of a $SL(2,\mathbb Z ...
Munshi, Ritabrata
core +1 more source
Purification tags markedly affect self‐aggregation of CPEB3
FEBS Letters, EarlyView.Although recombinant proteins are used to study protein aggregation in vitro, uncleaved tags can interfere with accurate interpretation. Our findings demonstrate that His₆‐GFP and His₁₂ tags significantly affect liquid droplet and amyloid fibril formation in the intrinsically disordered region (IDR) of mouse cytoplasmic polyadenylation element‐binding ...
Harunobu Saito +6 more
wiley +1 more source