DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES

Creative Commons License

Aygunes A. A.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.52, sa.2, ss.333-347, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4134/jkms.2015.52.2.333
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.333-347
  • Anahtar Kelimeler: Eisenstein series, modular forms, cusp forms, Fourier series, operators, derivative formula, theta function, Jacobi theta function, EISENSTEIN, SERIES
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, by using the modular forms of weight nk (2 <= n is an element of N and k is an element of Z), 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 of an operator related to the derivative formula. Finally, by using the function j(4), we obtain the Fourier coefficients of modular forms with weight 4.