ERRATUM: ”UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS IN C WITH FINITE WEIGHT ”

Abhijit BANERJEE; Goutam HALDAR

Makale detayları

ERRATUM: ”UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS IN C WITH FINITE WEIGHT ”

Yazarlar:

Abhijit BANERJEE | Goutam HALDAR

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Matematik

Dergi:

Konuralp Journal of Mathematics 2017 Vol.5 Issue 2, pp.168-171

Belge Tipi:

Makale

Yayın Tarihi:

10/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000536285

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


Theorem 1.1. Let S1 = {0, −an−1n}, S2 = {z : zn + azn−1 + b = 0} where n(≥ 7)be an integer and a and b be two nonzero constants such that zn+azn−1+b = 0 hasno multiple root. If f and g be two non-constant meromorphic functions having nosimple pole such that Ef (S1, 0) = Eg(S1, 0) and Ef (S2, 2) = Eg(S2, 2), then f ≡ g.Theorem 1.2. Let Si, i = 1, 2 and f and g be taken as in Theorem 1.1 wheren(≥ 8) is an integer. If Ef (S1, 0) = Eg(S1, 0) and Ef (S2, 1) = Eg(S2, 1), thenf ≡ g.Next by calculation it can be shown that in Lemma-2.2 we would always have p = 0.So in Lemma-2.2 we should replace N(r, 0; f |≥ p+1)+Nr, −an−1n; f |≥ p + 1byN(r, 0; f) + Nr, −an−1n; f. In that case the statement of the Lemma-2.2. shouldbe replaced byLemma-2.2. Let S1 and S2 be defined as in Theorem 1.1 and F, G be givenby (2.1). If for two non-constant meromorphic functions f and g, Ef (S1, 0) =Eg(S1, 0), Ef (S2, 0) = Eg(S2, 0), where H 6≡ 0 thenN(r, H) ≤ N(r, 0; f) + Nr, −an − 1n; f+ N∗(r, 1; F, G)+N(r, ∞; f) + N(r, ∞; g) + N0(r, 0; f0) + N0(r, 0; g0),where N0(r, 0; f0) is the reduced counting function of those zeros of f0which arenot the zeros of ff − an−1n(F − 1) and N0(r, 0; g0) is similarly define

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Makale detayları

ERRATUM: ”UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS IN C WITH FINITE WEIGHT ”

Yazarlar: Abhijit BANERJEE | Goutam HALDAR

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Matematik

Dergi: Konuralp Journal of Mathematics 2017 Vol.5 Issue 2, pp.168-171

Belge Tipi: Makale

Yayın Tarihi: 10/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000536285

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Abhijit BANERJEE | Goutam HALDAR

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Matematik

Dergi:

Konuralp Journal of Mathematics 2017 Vol.5 Issue 2, pp.168-171

Belge Tipi:

Makale

Yayın Tarihi:

10/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000536285

Sıklık:

İki Yıllık

eISSN:

2147-625X