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| Title: | Successive coefficients for spirallike and related functions |
| Authors: | Sahoo, Swadesh Kumar |
| Issue Date: | 2019 |
| Publisher: | Springer-Verlag Italia s.r.l. |
| Citation: | Arora, V., Ponnusamy, S., & Sahoo, S. K. (2019). Successive coefficients for spirallike and related functions. Revista De La Real Academia De Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 113(4), 2969-2979. doi:10.1007/s13398-019-00664-x |
| Abstract: | We consider the family of all analytic and univalent functions in the unit disk of the form f(z) = z+ a2z2+ a3z3+ ⋯. Our objective in this paper is to estimate the difference of the moduli of successive coefficients, that is | | an + 1| - | an| | , for f belonging to the family of γ-spirallike functions of order α. Our particular results include the case of starlike and convex functions of order α and other related class of functions. © 2019, The Royal Academy of Sciences, Madrid. |
| URI: | https://doi.org/10.1007/s13398-019-00664-x https://dspace.iiti.ac.in/handle/123456789/6626 |
| ISSN: | 1578-7303 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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