On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions
The relative order of growth gives a quantitative assessment of how different functions scale each other and to what extent they are self-similar in growth. In this paper for any two positive integers p and q, we wish to introduce an alternative definition of relative (p,q)th order which improves th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/826137 |
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| author | Luis Manuel Sánchez Ruiz Sanjib Kumar Datta Tanmay Biswas Golok Kumar Mondal |
| author_facet | Luis Manuel Sánchez Ruiz Sanjib Kumar Datta Tanmay Biswas Golok Kumar Mondal |
| author_sort | Luis Manuel Sánchez Ruiz |
| collection | DOAJ |
| description | The relative order of growth gives a quantitative assessment of how different functions scale each other and to what extent they are self-similar in growth. In this paper for any two positive integers p and q, we wish to introduce an alternative definition of relative (p,q)th order which improves the earlier definition of relative (p,q)th order as introduced by Lahiri and Banerjee (2005). Also in this paper we discuss some growth rates of entire functions on the basis of the improved definition of relative (p,q)th order with respect to another entire function and extend some earlier concepts as given by Lahiri and Banerjee (2005), providing some examples of entire functions whose growth rate can accordingly be studied. |
| format | Article |
| id | doaj-art-daa172cb65bd45a08b550c2f444f27ec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-daa172cb65bd45a08b550c2f444f27ec2025-02-03T05:53:42ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/826137826137On the (p,q)th Relative Order Oriented Growth Properties of Entire FunctionsLuis Manuel Sánchez Ruiz0Sanjib Kumar Datta1Tanmay Biswas2Golok Kumar Mondal3ETSID, Departamento de Matemática Aplicada & CITG, Universitat Politècnica de València, 46022 Valencia, SpainDepartment of Mathematics, University of Kalyani, Kalyani, District Nadia, West Bengal 741235, IndiaRajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, District Nadia, West Bengal 741101, IndiaDhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O. Dhulauri, P.S. Domkal, District Murshidabad, West Bengal 742308, IndiaThe relative order of growth gives a quantitative assessment of how different functions scale each other and to what extent they are self-similar in growth. In this paper for any two positive integers p and q, we wish to introduce an alternative definition of relative (p,q)th order which improves the earlier definition of relative (p,q)th order as introduced by Lahiri and Banerjee (2005). Also in this paper we discuss some growth rates of entire functions on the basis of the improved definition of relative (p,q)th order with respect to another entire function and extend some earlier concepts as given by Lahiri and Banerjee (2005), providing some examples of entire functions whose growth rate can accordingly be studied.http://dx.doi.org/10.1155/2014/826137 |
| spellingShingle | Luis Manuel Sánchez Ruiz Sanjib Kumar Datta Tanmay Biswas Golok Kumar Mondal On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions Abstract and Applied Analysis |
| title | On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions |
| title_full | On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions |
| title_fullStr | On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions |
| title_full_unstemmed | On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions |
| title_short | On the (p,q)th Relative Order Oriented Growth Properties of Entire Functions |
| title_sort | on the p q th relative order oriented growth properties of entire functions |
| url | http://dx.doi.org/10.1155/2014/826137 |
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