PARTIAL SUMS OF GENERALIZED STRUVE FUNCTIONS
MISKOLC MATHEMATICAL NOTES, cilt.17, sa.1, ss.657-670, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2016
- Doi Numarası: 10.18514/mmn.2016.1419
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.657-670
- Anahtar Kelimeler: partial sums, analytic functions, generalized Struve functions, Struve and modified Struve functions
- Atatürk Üniversitesi Adresli: Evet
Özet
Let (f(v, d, c))(n) (z) = z + Sigma(n)(k=1) b(k)z(k+1) be the sequence of partial sums of generalized and normalized Struve functions f(v, d, c) (z) = z + Sigma(infinity)(k=1) b(k)z(k+1) where b(k) = (-c/4)(k)/(3/2)(k)(F)(k) and F := v + (d+2)/2 not equal 0, -1, -2, .... The purpose of the present paper is to determine lower bounds for R{f(v, d, c) (z)/(f(v, d, c))(n) (z)}, R{(f(v, d, c))(n) (z)/f(v, d, c) (z)}, R{f'(v, d, c) (z)/(f(v, d, c))'(n) (z)} and R{(f(v, d, c))'(n) (z)/f'(v, d, c) (z)}. Furthermore, we give lower bounds for R{Lambda[f(v, d, c)](z)/Lambda[f(v, d, c)])(n) (z)} and R{Lambda[f(v, d, c)])(n)(z)/Lambda[f(v, d, c)](n) (z)} , where Lambda[f(v, d, c)] the Alexander transform of f(v, d, c).