The aim of the present paper is to determine bounds on the difference of the moduli of successive coefficients, that is \(\big ||a_{n+1}|-|a_{n}|\big |\) for classes defined by subordination like classes of starlike functions \(\mathcal {S}^*(\varphi )\), and convex functions \(\mathcal {C}(\varphi )\). For various special functions \(\varphi \) corresponding consequences of the main result are also presented that incorporate some known results as the special cases.

中文翻译：

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从属定义的类中函数的连续系数

本文的目的是确定连续系数的模的差异的界限，即\(\big ||a_{n+1}|-|a_{n}|\big |\)对于定义的类通过类似星形函数\(\mathcal {S}^*(\varphi )\)和凸函数\(\mathcal {C}(\varphi )\)的从属类。对于各种特殊函数\(\varphi\)，还给出了主要结果的相应结果，将一些已知结果作为特殊情况。