On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function
In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transfor...
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| Veröffentlicht in: | Symmetry (Basel) Jg. 12; H. 3; S. 390 |
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01.03.2020
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| Abstract | In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained. Also, we obtain some interesting relationships and identities for these transforms. We also derive some correlations among Aleph function and the above-mentioned integral transforms in quantum calculus. |
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| AbstractList | In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained. Also, we obtain some interesting relationships and identities for these transforms. We also derive some correlations among Aleph function and the above-mentioned integral transforms in quantum calculus. |
| Author | Tassaddiq, Asifa Jain, D. K. Bhat, Altaf Ahmad Ali, Farhad |
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| Cites_doi | 10.18576/jsap/060312 10.1007/978-3-642-56666-0 10.1016/j.jmaa.2004.12.029 10.4171/zaa/1338 10.1155/S1024123X03207018 10.1088/0305-4470/24/13/002 10.1080/002073901317147870 10.1007/978-1-4419-0916-9 10.1007/s002200050296 10.1016/S0252-9602(18)30765-3 10.3923/ajms.2012.158.162 10.1002/mana.19490020604 |
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| References | Jackson (ref_21) 1910; 41 Purohit (ref_27) 2006; III Saxena (ref_20) 2010; 3 Sudland (ref_10) 1998; 1 Saxena (ref_33) 1983; 6 Kac (ref_22) 2005; 9 Ahmad (ref_16) 2017; 5 ref_36 ref_13 ref_35 ref_11 ref_30 Jain (ref_32) 2012; 5 Bangerezako (ref_8) 2005; 306 Saxena (ref_40) 2013; 1 Watugala (ref_1) 1998; 6 ref_39 Belgacem (ref_4) 2003; 3 Saxena (ref_34) 1995; 50 Brahim (ref_6) 2018; 38 Watugala (ref_2) 1993; 24 Saxena (ref_12) 2011; 218 ref_25 Saxena (ref_5) 2013; 4 ref_24 Chakrabarti (ref_18) 1991; 24 ref_23 Dutta (ref_31) 2011; 1 Ahmad (ref_17) 2017; 6 Asiru (ref_3) 2001; 32 Odzijewicz (ref_19) 1998; 192 Ahmad (ref_14) 2016; 3 ref_28 Albayrak (ref_29) 2013; 21 ref_9 Annaby (ref_7) 2007; 26 Pathak (ref_37) 2017; 39 Ahmad (ref_15) 2018; 39 Hahn (ref_26) 1949; 2 Ahmad (ref_38) 2019; 118 |
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