References
M. K. Jain, ‘On the derivatives of integral functions’, Ganita4, 143–146 (1953).
M. K. Jain, ‘On the maximum real part of an integral function and its derivatives’, Ganita5, 203–214 (1954).
G. Pólya andG. Szegö, Aufgaben und Lehrsätze aus der Analysis (Berlin, 1925).
C. T. Rajagopal, ‘A note on power series’, Math. Studient,20, 99–106 (1952).
S. M. Shah, ‘A note on the derivatives of integral functions’, Bull. Amer. Math. Soc.53, 1156–1163 (1947).
R. P. Srivastav, ‘On the derivatives of integral functions’, Math. Student25, 11–15 (1957).
R. S. L. Srivastava, ‘A note on derivatives of integral functions’, Ganita9, 15–20 (1958).
G. Valiron, Lectures on the general theory of integral functions (Chelsea reprint, New York, 1949).
G. Valiron, Fonctions analytiques (Paris, 1954).
T. Vijayaraghavan, ‘On derivatives of integral functions’, J. London Math. Soc.10, 116–117 (1935).
J. M. Whittaker, ‘The lower order of integral functions’, J. London Math. Soc.8, 20–27 (1933).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rajagopal, C.T. On an asymptotic relation between an entire function, its derivative and their order. Monatshefte für Mathematik 66, 339–345 (1962). https://doi.org/10.1007/BF01301181
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01301181