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On Certain Classes of Meromorphic Functions Associated with Conic Domains
Author(s) -
Khalida Inayat Noor,
Fiaz Amber
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/801601
Subject(s) - mathematics , meromorphic function , subordination (linguistics) , convolution (computer science) , unit disk , conic section , boundary (topology) , pure mathematics , operator (biology) , bounded function , analytic function , differential operator , mathematical analysis , unit (ring theory) , differential (mechanical device) , geometry , philosophy , linguistics , biochemistry , chemistry , repressor , machine learning , artificial neural network , computer science , transcription factor , engineering , gene , aerospace engineering , mathematics education
Making use of the concept of k-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results

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