Results 11 to 20 of about 119,067 (266)
The modulus of Whittaker functions [PDF]
Integral Transforms and Special Functions, 2020 The paper discusses some properties of the modulus $|W_{k,m}(z)|$ of the Whittaker function $W_{k,m}(z)$. In particular, completely monotone functions expressed in terms of $|W_{k,m}(z)|$ are found. The results follow from an integral representation for products of Whittaker functions due to Erdélyi (1938).
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Some Inequalities for the Maximum Modulus of Rational Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2021 For a polynomial p(z) of degree n, it follows from the maximum modulus theorem that max|z|=R≥1|p(z)| ≤ Rnmax|z|=1|p(z)|. It was shown by Ankeny and Rivlin that if p(z) ≠ 0 for |z| < 1, then max|z|=R≥1|p(z)| ≤ ((Rn + 1)/2)max|z|=1|p(z)|. In 1998, Govil and Mohapatra extended the above two inequalities to rational functions, and in this paper, we ...
Robert Gardner +2 more
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Acta Scientiarum: Technology, 2013 In this paper we introduce the strongly generalized difference sequence spaces of modulus function and is a non-negative four dimensional matrix of complex numbers and (pi(mn)) is a sequence of positive real numbers.
Subramanian Nagarajan, Umakanta Misra
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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
Journal of Inequalities and Applications, 2017 The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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Functions with a concave modulus of continuity [PDF]
Proceedings of the American Mathematical Society, 1974 In [ 1 ], C. Goffman proved that, if σ \sigma
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Inthis paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptoticallylacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and asymptotically lacunary I-invariant ...
Erdinç Dundar +2 more
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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Simulation study on the size effect of joint roughness on bulk modulus
Frontiers in Materials, 2023 The bulk modulus reflects the deformation of rock macroscopically and plays a vital role in geological exploration, oilfield development, and drilling.
Wenxu Liang +7 more
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On the $\Delta _{{\Lambda ^2}}^f$-Statistical Convergence on Product Time Scale
Universal Journal of Mathematics and Applications, 2020 In this paper, we first define a new density of a $\Delta $-measurable subset of a product time scale ${\Lambda ^2}$ with respect to an unbounded modulus function.
Metin Basarır +2 more
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Study on the size effect of elastic modulus of rock considering the joint spacing
Frontiers in Materials, 2023 The relationship between the rock’s elastic modulus and deformation characteristics, affected by joint spacing and ductility, was not determined. This study investigates the size effect of the elastic modulus of rock with parallel joints using numerical ...
Tao Zhao, Tao Zhao, Tao Zhao, Gaojian Hu
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