Radius problem for the class of analytic functions based on Ruscheweyh derivative

• Panigrahi, Trailokya ^[1] ; Mohapatra, S. K. ^[1]
  1. [1] KIIT Deemed to be University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 3, 2019, págs. 537-551
• Idioma: inglés
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• Resumen

  • Let ???? be the class of analytic functions f (z) with the normalized condition f(0) = f 0(0)−1 = 0 in the open unit disk U. Bymaking use of Ruscheweyh derivative operator, a new subclass ????(β1, β2, β3, β4; λ) of f(z) ∈ ???? satisfying the inequality    for some complex numbers β1, β2, β3, β4 and for some real λ > 0 is introduced. The object of the present paper is to obtain some properties of the function class ???? (β1, β2, β3, β4; λ). Also the radius problems of   satisfies the condition   is considered.