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DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES

DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES

In this paper, by using the modular forms of weight nk (<TEX>$2{\leq}n{\in}\mathbb{N}$</TEX> and <TEX>$k{\in}\mathbb{Z}$</TEX>), we construct a formula which generates modular forms of weight 2nk+4. This formula consist of some known results in [14] and [4]. Moreover, we obtain Fourier expansion of these modular forms. We also give some properties …