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## A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions

#### Sanjib Kumar Datta [1] , Aditi Biswas [2]

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Let p and q be any two positive integers. In this paper the concept of two relative growth indicators namely relative (p, q)-th type and relative (p, q)-th weak type of entire functions with respect to entire algebroidal functions have been introduced from the view point of their integral representations. Here we also investigate the equivalence of the computational definitions with their respective integral representations.

Entire function, entire algebroidal function, growth, order (lower order), relative order (relative lower order), growth indicator
• [1] L. Bernal, Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con ´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
• [2] L. Bernal, Orden relative de crecimiento de funciones enteras , Collect. Math., 39 (1988), 209-229.
• [3] J. Clunie, The composition of entire and meromorphic functions, Mathematical essays dedicated to A.J.Macintyre, Ohio University Press, (1970), 75 - 92.
• [4] A. S. B. Holland, Introduction to the theory of entire functions, Academic Press, New York and London (1973).
• [5] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., 282, (1976), 53-67
• [6] O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p, q)-type and lower (p, q)-type of an entire function, J. Reine Agew. Math., 290 (1977), 180-189.
• [7] C. Roy, Some properties of entire functions in one and several complex vaiables, Ph.D. Thesis ( 2010), University of Calcutta.
• [8] L. M. S. Ruiz, S. K. Datta, T. Biswas and G. K. Mondal, On the (p,q)-th relative order oriented growth properties of entire functions,Abstract and Applied Analysis,Hindawi Publishing Corporation, Volume 2014, Article ID 826137, 8 pages.
• [9] E. C. Titchmarsh, The theory of functions, 2nd ed. Oxford University Press, Oxford, 1939.
• [10] G. Valiron, Lectures on the general theory of integral functions, Chelsea Publishing Company, 1949.
Birincil Dil en Araştırma Makalesi Yazar: Sanjib Kumar Datta Yazar: Aditi Biswas
 Bibtex @araştırma makalesi { jnt453510, journal = {Journal of New Theory}, issn = {}, eissn = {2149-1402}, address = {Gaziosmanpaşa Üniversitesi}, year = {2018}, volume = {}, pages = {1 - 19}, doi = {}, title = {A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions}, key = {cite}, author = {Datta, Sanjib Kumar and Biswas, Aditi} } APA Datta, S , Biswas, A . (2018). A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions. Journal of New Theory, (24), 1-19. Retrieved from http://dergipark.gov.tr/jnt/issue/38869/453510 MLA Datta, S , Biswas, A . "A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions". Journal of New Theory (2018): 1-19 Chicago Datta, S , Biswas, A . "A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions". Journal of New Theory (2018): 1-19 RIS TY - JOUR T1 - A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions AU - Sanjib Kumar Datta , Aditi Biswas Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 1 EP - 19 VL - IS - 24 SN - -2149-1402 M3 - UR - Y2 - 2018 ER - EndNote %0 Journal of New Theory A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions %A Sanjib Kumar Datta , Aditi Biswas %T A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions %D 2018 %J Journal of New Theory %P -2149-1402 %V %N 24 %R %U ISNAD Datta, Sanjib Kumar , Biswas, Aditi . "A Note on the Integral Representation of Some Relative Growth Indicators of Entire Algebroidal Functions". Journal of New Theory / 24 (Ağustos 2018): 1-19.