Motivated by the study of singular values random rectangular matrices, we define and additive convolution polynomials with nonnegative real roots. Our definition directly generalizes asymmetric introduced Marcus, Spielman Srivastava (2015), our main theorem gives corresponding generalization bound on largest root from that paper. The tool used in analysis is a differential operator derived "rec...

Abstract An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical forced problems employing operational matrix integration Bernoulli orthonormal polynomials. The is determined wi...

In this paper, we introduce a class Tk(λ, α1, p, q, s, ρ). We investigate a number of inclusion relationships, radius problem and some other interesting properties of p-valent functions which are defined here by means of a certain linear integral operator Hp,q,s(α1). 2000 Mathematics Subject Classification: 30C45, 30C50.

In this paper, we introduce a new subclasses of univalent functions defined in the open unit disc involving DziokSrivastava Operator . The results on modified Hadamard product ,Holder inequalities and closure properties under integral transforms are discussed.

and Applied Analysis 3 Corresponding to a function hp α1, . . . , αq; β1, . . . , βs; z defined by hp ( α1, . . . , αq; β1, . . . , βs; z ) z−pqFs ( α1, . . . , αq; β1, . . . , βs; z ) , 1.11 we now consider a linear operator Hp ( α1, . . . , αq; β1, . . . , βs ) : Σ ( p ) −→ Σp, 1.12 defined by means of the Hadamard product or convolution as follows: Hp ( α1, . . . , αq; β1, . . . , βs ) f z :...

G. Murugusundaramoorthy, S. Sivasubramanian, R. K. Raina Abstract. The authors introduce a new subclass UH(α, β, γ, δ, λ, k) of functions which are analytic in the open disc ∆ = {z ∈ C : |z| < 1}. Various results studied include the coefficient estimates and distortion bounds, radii of close-to-convexity, starlikeness and convexity and integral means inequalities for functions belonging to the ...