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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 ...
Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04-12)
In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ...
Hopf-dihedral (co)homology and L-theory
(European Mathematical Soc, 2018-03-23)
We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial ...
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 ...
Generalized frames in the space of strong limit power functions
(Springer Basel AG, 2013-02)
By using the existence of a larger orthonormal basis, the space of strong limit power functions is extended. We use the windowed Fourier transform and wavelet transform to analyze strong limit power signals and we construct ...
Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 2014-07)
Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ...
Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
(Pergamon-Elsevier Science Ltd, 2009-11)
In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate ...
Harmonic mappings related to Janowski starlike functions
(Elsevier Science BV, 2014-11)
The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ...
Some properties of starlike harmonic mappings
(Springer International Publishing AG, 2012)
A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, andwewill ...
Re-visiting the head-on collision problem between two solitary waves in shallow water
(Pergamon-Elsevier Science Ltd, 2015-03)
Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ...