Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

and Applied Analysis 3 Theorem C. Let Aj z /≡ 0 j 0, 1 be entire functions with σ Aj < 1, and let a, b be complex constants such that ab / 0 and arga/ arg b or a cb 0 < c < 1 . If ψ z /≡ 0 is an entire function with finite order, then every solution f /≡ 0 of 1.2 satisfies λ f − ψ λ f ′ − ψ λ f ′′ − ψ ∞. Furthermore, let d0 z , d1 z ,and d2 z be polynomials that are not all equal to zero, and l...

Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations

We investigate the complex oscillation of some differential polynomials generated by solutions of the differential equation f ′′ + A1(z)f ′ + A0(z)f = 0, where A1(z), A0(z) are meromorphic functions having the same finite iterated p-order.

Fractional differential equations with Legendre polynomials

Complex oscillation of differential polynomials generated by analytic solutions of differential equations in the unit disc∗

In this paper, we investigate the complex oscillation of differential polynomials generated by solutions of differential equations

Uniqueness of meromorphic functions ans Q-differential polynomials sharing small functions

‎The paper concerns interesting problems related to the field of Complex Analysis‎, ‎in particular, Nevanlinna theory of meromorphic‎ ‎functions‎. ‎We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a‎ ‎small function‎. ‎Outside‎, ‎in this paper‎, ‎we also consider the uniqueness of $q-$ shift difference‎ - ‎differential polynomials‎ ‎of mero...