Results 51 to 60 of about 51,880 (308)
Bernoulli Polynomials and Convolution Sums [PDF]
British Journal of Mathematics & Computer Science, 2014 In this paper, we study the summations ∑ (a,b,c)∈N a+b+c=n (f(a+ b) + f(b+ c) + f(c+ a)) and ∑ (a,b,c,d)∈N a+b+c+d=n (f(a+ b+ c) + f(b+ c+ d) + f(c+ d+ a)). Especially, for the first summation we obtain some relations related to Bernoulli and Euler polynomials.
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New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
Abstract and Applied Analysis, 2013 Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products,
Ding-Gong Yang, Jin-Lin Liu
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Some Types of Identities Involving the Legendre Polynomials
Mathematics, 2019 In this paper, a new non-linear recursive sequence is firstly introduced. Then, using this sequence, a computational problem involving the convolution of the Legendre polynomial is studied using the basic and combinatorial methods.
Shimeng Shen, Li Chen
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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
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CONVOLUTION SUMS AND THEIR RELATIONS TO EISENSTEIN SERIES [PDF]
Bulletin of the Korean Mathematical Society, 2013 In this paper, we consider several convolution sums, namely, Ai(m;n; N) (i = 1; 2; 3; 4), Bj(m;n;N) (j = 1; 2; 3), and Ck(m;n;N) (k = 1; 2; 3;:::, 12), and establish certain identities involving their nite products. Then we extend these types of product convolution identities to products involving Faulhaber sums.
Daeyeoul Kim +2 more
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FEBS Letters, EarlyView.Spinal muscular atrophy (SMA) is a genetic disease affecting motor neurons. Individuals with SMA experience mitochondrial dysfunction and oxidative stress. The aim of the study was to investigate the effect of an antioxidant and neuroprotective substance, ergothioneine (ERGO), on an SMNΔ7 mouse model of SMA.
Francesca Cadile +8 more
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Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment
FEBS Letters, EarlyView.The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke +2 more
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Convolution Sums of Some Functions on Divisors
Rocky Mountain Journal of Mathematics, 2007 This is an old paper uploaded for archival ...
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FEBS Letters, EarlyView.Atovaquone is an antimalarial requiring potentiation for sufficient efficacy. We pursued strategies to enhance its activity, showing that 4‐nitrobenzoate inhibits 4‐hydroxybenzoate polyprenyltransferase, decreasing ubiquinone biosynthesis. Since atovaquone competes with ubiquinol in mitochondria, 4‐nitrobenzoate facilitates its action, potentiating ...
Ignasi Bofill Verdaguer +7 more
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