The Journal of the Indian Mathematical Society

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The Influence of Zeros on the Magnitude of Functions Regular in an Angle


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1 Annamalai University, India
     

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It is known that the lattice-points in the complex plane

Z = m+in, m, n = o, ±1, ±2,…                                (I)

have several interesting properties in relation to the values assumed by integral functions and funct ons regular in an angle at these points. The object of this paper is to show that the lattice-points (I) are only a special case of a large class of sequences which may be called pseudolattice points in relation to which also, integral functions and functions regular in an angle possess similar properties.


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  • The Influence of Zeros on the Magnitude of Functions Regular in an Angle

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Authors

V. Ganapathy Iyer
Annamalai University, India

Abstract


It is known that the lattice-points in the complex plane

Z = m+in, m, n = o, ±1, ±2,…                                (I)

have several interesting properties in relation to the values assumed by integral functions and funct ons regular in an angle at these points. The object of this paper is to show that the lattice-points (I) are only a special case of a large class of sequences which may be called pseudolattice points in relation to which also, integral functions and functions regular in an angle possess similar properties.