Results 41 to 50 of about 52,924 (309)
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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Mathematics, 2020 In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
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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
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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
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Deep Convolutional Sum-Product Networks
Proceedings of the AAAI Conference on Artificial Intelligence, 2019 We give conditions under which convolutional neural networks (CNNs) define valid sum-product networks (SPNs). One subclass, called convolutional SPNs (CSPNs), can be implemented using tensors, but also can suffer from being too shallow. Fortunately, tensors can be augmented while maintaining valid SPNs.
Cory J. Butz +3 more
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A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
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On a convolution series attached to a Siegel Hecke cusp form of degree 2
, 2013 We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic formula for the partial sums of the squares of the eigenvalues of $F$ with ...
Das, Soumya +2 more
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
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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
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