A Formula for Generating Weakly Modular Forms with Weight 12

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Aygunes A. A.

FILOMAT, cilt.30, sa.4, ss.1001-1004, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604001a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1001-1004
  • Anahtar Kelimeler: Eisenstein series, Mobius transformation, Modular form
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this short paper, generally, we define a family of functions f(k) depends on the Eisenstein series with weight 2k, for k is an element of N. More detail, by considering the function fk, we define a derivative formula for generating weakly modular forms with weight 12. As a result for this, we claim that this formula gives an advantage to find the special solutions of some differential equations.