Arindam Jha - Academia.edu (original) (raw)

Papers by Arindam Jha

Research paper thumbnail of On the Growth of Entire Algebroidal Functions

ijpam.eu

Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− ... more Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− 2Fk− 2+···+ f0= 0, where fk≡ 0 and all fi (i= 0, 1, 2,···, k) are entire functions having no common zeros. If at least one of the fi (i= 0, 1, 2,···, k) is transcendental then F is called a k-...

Research paper thumbnail of Meromorphic Function of Fuzzy Complex Variables

Abstaract − The fuzzy complex set is a fuzzy set whose values lies in the unit circle |z| ≤ 1 in ... more Abstaract − The fuzzy complex set is a fuzzy set whose values lies in the unit circle |z| ≤ 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce the notion of fuzzy to the Nevanlinna theory and investigate some important properties of Nevanlinna characteristic function of fuzzy complex variables.

Research paper thumbnail of Comparative Growth Properties of Composite Meromorphic Functions

In the paper we study the comparative growth properties of composite meromorphic functions using ... more In the paper we study the comparative growth properties of composite meromorphic functions using L ∗ − order and L ∗ − type where L = L(r) is a slowly changing function. Mathematics Subject Classification: 30D35, 30D30

Research paper thumbnail of Some results on the growth properties of Wronskians

The aim of this paper paper is to study the comparative growth properties of the composition of e... more The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.

Research paper thumbnail of A Note on the Type of a Meromorphic Function of Order Zero

In this paper we introduce the definition of the type of a meromorphic function of order zero and... more In this paper we introduce the definition of the type of a meromorphic function of order zero and discuss some growth properties of it.

Research paper thumbnail of Some Results on the L − (p, q)th Exponent of Convergence of Zeros of Entire Functions

Let f be an entire function having ρ L (p, q) as its L − (p, q) th exponent of convergence of zer... more Let f be an entire function having ρ L (p, q) as its L − (p, q) th exponent of convergence of zeros where L = L(r) is a slowly changing function as r →∞ and p, q are any two positive integers with p>q . If 0 ≤ β0 <ρ L (p, q), in the paper we show that there exists an infinite number of entire functions each having β0 as its L − (p, q) th exponent of convergence of zeros.

Research paper thumbnail of On the growth of entire algebroidal functions

Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− ... more Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− 2Fk− 2+···+ f0= 0, where fk≡ 0 and all fi (i= 0, 1, 2,···, k) are entire functions having no common zeros. If at least one of the fi (i= 0, 1, 2,···, k) is transcendental then F is called a k-...

Research paper thumbnail of On the L- order of entire functions

Research paper thumbnail of On the Weak Type of Meromorphic Functions

In this paper we introduce the definition of weak type of meromorphic functions and establish its... more In this paper we introduce the definition of weak type of meromorphic functions and establish its integral representation. We also investigate some growth properties related to the weak type of meromorphic functions. Mathematics Subject Classification: 30D35, 30D30

Research paper thumbnail of On the Growth of Entire Algebroidal Functions

ijpam.eu

Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− ... more Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− 2Fk− 2+···+ f0= 0, where fk≡ 0 and all fi (i= 0, 1, 2,···, k) are entire functions having no common zeros. If at least one of the fi (i= 0, 1, 2,···, k) is transcendental then F is called a k-...

Research paper thumbnail of Meromorphic Function of Fuzzy Complex Variables

Abstaract − The fuzzy complex set is a fuzzy set whose values lies in the unit circle |z| ≤ 1 in ... more Abstaract − The fuzzy complex set is a fuzzy set whose values lies in the unit circle |z| ≤ 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce the notion of fuzzy to the Nevanlinna theory and investigate some important properties of Nevanlinna characteristic function of fuzzy complex variables.

Research paper thumbnail of Comparative Growth Properties of Composite Meromorphic Functions

In the paper we study the comparative growth properties of composite meromorphic functions using ... more In the paper we study the comparative growth properties of composite meromorphic functions using L ∗ − order and L ∗ − type where L = L(r) is a slowly changing function. Mathematics Subject Classification: 30D35, 30D30

Research paper thumbnail of Some results on the growth properties of Wronskians

The aim of this paper paper is to study the comparative growth properties of the composition of e... more The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.

Research paper thumbnail of A Note on the Type of a Meromorphic Function of Order Zero

In this paper we introduce the definition of the type of a meromorphic function of order zero and... more In this paper we introduce the definition of the type of a meromorphic function of order zero and discuss some growth properties of it.

Research paper thumbnail of Some Results on the L − (p, q)th Exponent of Convergence of Zeros of Entire Functions

Let f be an entire function having ρ L (p, q) as its L − (p, q) th exponent of convergence of zer... more Let f be an entire function having ρ L (p, q) as its L − (p, q) th exponent of convergence of zeros where L = L(r) is a slowly changing function as r →∞ and p, q are any two positive integers with p>q . If 0 ≤ β0 <ρ L (p, q), in the paper we show that there exists an infinite number of entire functions each having β0 as its L − (p, q) th exponent of convergence of zeros.

Research paper thumbnail of On the growth of entire algebroidal functions

Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− ... more Let F be a k-valued function defined by the following irreducible equation fkFk+ fk− 1Fk− 1+ fk− 2Fk− 2+···+ f0= 0, where fk≡ 0 and all fi (i= 0, 1, 2,···, k) are entire functions having no common zeros. If at least one of the fi (i= 0, 1, 2,···, k) is transcendental then F is called a k-...

Research paper thumbnail of On the L- order of entire functions

Research paper thumbnail of On the Weak Type of Meromorphic Functions

In this paper we introduce the definition of weak type of meromorphic functions and establish its... more In this paper we introduce the definition of weak type of meromorphic functions and establish its integral representation. We also investigate some growth properties related to the weak type of meromorphic functions. Mathematics Subject Classification: 30D35, 30D30