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On an asymptotic relation between an entire function, its derivative and their order. (English) Zbl 0105.27902

##### Keywords:
complex functions
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##### References:
 [1] M. K. Jain, ?On the derivatives of integral functions?, Ganita4, 143-146 (1953). · Zbl 0053.23802 [2] M. K. Jain, ?On the maximum real part of an integral function and its derivatives?, Ganita5, 203-214 (1954). · Zbl 0058.30402 [3] G. Pólya andG. Szegö, Aufgaben und Lehrsätze aus der Analysis (Berlin, 1925). [4] C. T. Rajagopal, ?A note on power series?, Math. Studient,20, 99-106 (1952). [5] S. M. Shah, ?A note on the derivatives of integral functions?, Bull. Amer. Math. Soc.53, 1156-1163 (1947). · Zbl 0032.20403 [6] R. P. Srivastav, ?On the derivatives of integral functions?, Math. Student25, 11-15 (1957). [7] R. S. L. Srivastava, ?A note on derivatives of integral functions?, Ganita9, 15-20 (1958). · Zbl 0094.04704 [8] G. Valiron, Lectures on the general theory of integral functions (Chelsea reprint, New York, 1949). [9] G. Valiron, Fonctions analytiques (Paris, 1954). [10] T. Vijayaraghavan, ?On derivatives of integral functions?, J. London Math. Soc.10, 116-117 (1935). · Zbl 0011.26002 [11] J. M. Whittaker, ?The lower order of integral functions?, J. London Math. Soc.8, 20-27 (1933). · Zbl 0006.21202
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