Results 1 to 10 of about 10,189,054 (196)
On approximating the modified Bessel function of the second kind [PDF]
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequalities π e − x 2 ( x + a ) < K 0 ( x ) < π e − x 2 ( x + b ) , 1 + 1 2 ( x + a ) < K 1 ( x ) K 0 ( x ) < 1 + 1 2 ( x + b ) $$ \frac{\sqrt{\pi}e^{-x}}{\sqrt{2(x+a)}}< K_{0}(x)< \frac{\sqrt{\pi }e^{-x}}{\sqrt ...
Zhen-Hang Yang, Yu-Ming Chu
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Curvature of the second kind and a conjecture of Nishikawa [PDF]
Commentarii Mathematici Helvetici, 2023 In this paper we investigate manifolds for which the curvature operator of the second kind (following the terminology of Nishikawa (1986)) satisfies certain positivity conditions. Our main result settles Nishikawa’s conjecture that a manifold with positive curvature operator of the second kind is diffeomorphic to a sphere, by showing that such ...
Cao, Xiaodong +2 more
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Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]
J Inequal Appl, 2018 In this paper, we consider sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we can express those
Kim T, Kim DS, Dolgy DV, Park JW.
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Special values of the Bell polynomials of the second kind for some sequences and functions
Journal of Mathematical Analysis and Applications, 2020 In the paper, after concisely surveying some closed formulas and applications of special values of the Bell polynomials of the second kind for some special sequences and elementary functions, the authors newly establish some closed formulas for some ...
Feng Qi, Yonghong Yao, Da-Wei Niu
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The Wright Functions of the Second Kind in Mathematical Physics [PDF]
Mathematics, 2020 In this review paper, we stress the importance of the higher transcendental Wright functions of the second kind in the framework of Mathematical Physics.
Francesco Mainardi, Armando Consiglio
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Degenerate Stirling Polynomials of the Second Kind and Some Applications
Symmetry, 2019 Recently, the degenerate λ -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate λ -Stirling polynomials as well as the r-truncated degenerate λ ...
Taekyun Kim, D S Kim, Jongkyum Kwon
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New type of degenerate Daehee polynomials of the second kind
Advances in Difference Equations, 2020 Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma +3 more
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Study on r-truncated degenerate Stirling numbers of the second kind
Open Mathematics, 2022 The degenerate Stirling numbers of the second kind and of the first kind, which are, respectively, degenerate versions of the Stirling numbers of the second kind and of the first kind, appear frequently when we study various degenerate versions of some ...
Taekyun Kim
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Betti numbers and the curvature operator of the second kind [PDF]
Journal of the London Mathematical Society, 2022 We show that compact, n$n$ ‐dimensional Riemannian manifolds with n+22$\frac{n+2}{2}$ ‐nonnegative curvature operators of the second kind are either rational homology spheres or flat.
Jan Nienhaus, P. Petersen, Matthias Wink
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Holonomy restrictions from the curvature operator of the second kind [PDF]
Differential geometry and its applications, 2022 We show that an $n$-dimensional Riemannian manifold with $n$-nonnegative or $n$-nonpositive curvature operator of the second kind has restricted holonomy $SO(n)$ or is flat.
Jan Nienhaus +3 more
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