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Dziok J.,University of Rzeszw | Raina R.K.,Mp University Of Agriculture And Technology | Sokol J.,Rzeszw University of Technology
Computers and Mathematics with Applications | Year: 2011

This paper investigates some basic geometric properties for the class KSL of functions f analytic in the open unit disc Δ=z:|z|<1 (which is related to a shell-like curve and associated with Fibonacci numbers) satisfying the condition that f(0)=0,f′(0)=1andzf″(z) f′(z)≺τz+2τ2z21-τz- τ2z2(z∈Δ), where, the number τ=(1-5)2 is such that |τ| fulfils the golden section of the segment [0,1]. Some relevant remarks and useful connections of the main results are also pointed out. © 2011 Elsevier Ltd. All rights reserved.

Dziok J.,University of Rzeszow | Raina R.K.,Mp University Of Agriculture And Technology | SokoL J.,Rzeszow University of Technology
Acta Mathematica Scientia | Year: 2013

This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = z:|z|<1 satisfying the conditions that f(0) = 0, f'(0) = 1, and α(1 + zf''(z)f'(z)) + (1 - α)zf'(z)f(z)ε p̃(u)for all z ∈ U, where α is a real number andp ̃(z) = 1 + τ2z21 - τz - τ2z2 (z ε u).The number τ = (1 - 5)/2 is such that τ2 = 1 + τ. The class SLMα introduced by J. Dziok, R.K. Raina, and J. Sokół [3, Appl. Math. Comput. 218 (2011), 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory. © 2013 Wuhan Institute of Physics and Mathematics.

Saharan V.,Mp University Of Agriculture And Technology | Meena V.,Mp University Of Agriculture And Technology | Jain H.K.,Mp University Of Agriculture And Technology | Yadav R.C.,Mp University Of Agriculture And Technology | Yadav R.C.,CCS Haryana Agricultural University
Legume Research | Year: 2013

High frequency stable GUS gene expression has been achieved in three chickpea varieties. Standardized regeneration protocol from epicotyl explant has been used for regeneration of transformed GUS expressing shoots of chickpea. Agrobacterium tumefaciens strain EHA 105 containing vector pCAMBIA 2301 and strain LB 4404 harboring pBI121 were used in present study. Infection time (15 min.), co-cultivation duration (72 hrs.), acetosyringone (200 μM) were found to be optimum for transient and stable GUS gene expression via pCAMBIA vector. Maximum percentage of stable GUS gene expression was recorded 33.3 % in microshoots of Pratap-1, followed by 19.0 % in microshoots of GNG-469. Efforts have been made to perform PCR for regenerated microshoots to confirmed stable GUS and npt-II gene integration in transformed microshoots. Present protocols developed for popular local varieties of chickpea can be used for transfers of genes for varietal improvement programme.

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