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On the fractional sums of some special functions
(Springer Basel AG, 2019-03)
We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the ...
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
(B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)
In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ℍm-1 s (-1) ⊂ Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ...
Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
(IOP Publishing, 2010-01)
We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function ...
Dynamic extension of a compressible nonlinearly elastic membrane tube
(Oxford Univ Press, 2005-02)
The dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially ...
Harmonic mappings related to Janowski convex functions of complex order b
(2013)
Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ...
Minimal rotational surfaces in the product space Q(?)(2) X S-1
(World Scientific Publ Co Pte Ltd, 2018-07-01)
In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2)epsilon denotes either the unit 2-sphere S-2 or the 2-dimensional hyperbolic space H-2 of constant curvature 1, according ...
Cross-sectional thermoacoustic imaging using multi-layer cylindrical media
(IEEE, 2017-11-10)
For cross-sectional two-dimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical cross-section. ...
Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
(Elsevier Ltd, 2010-04)
In this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave-short-wave interaction equations. Both the non-existence and existence results are based ...
Harmonic mappings for which co-analytic part is a close-to-convex function of order b
(Springer International Publishing, 2015-01-16)
In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, ...
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
(IOP Publishing Ltd, 2011-04)
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the ...
