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ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS

  • Agarwal, Praveen;Jain, Shilpi;Khan, Mumtaz Ahmad;Nisar, Kottakkaran Sooppy
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.835-850
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    • 2017
  • A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions ${\kappa}_i$, $i=1,2,{\ldots},18$ by considering the product of two $_4F_3$ functions.

NOTES ON SYMMETRIC SKEW n-DERIVATION IN RINGS

  • Koc, Emine;Rehman, Nadeem ur
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1113-1121
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    • 2018
  • Let R be a prime ring (or semiprime ring) with center Z(R), I a nonzero ideal of R, T an automorphism of $R,S:R^n{\rightarrow}R$ be a symmetric skew n-derivation associated with the automorphism T and ${\Delta}$ is the trace of S. In this paper, we shall prove that S($x_1,{\ldots},x_n$) = 0 for all $x_1,{\ldots},x_n{\in}R$ if any one of the following holds: i) ${\Delta}(x)=0$, ii) [${\Delta}(x),T(x)]=0$ for all $x{\in}I$. Moreover, we prove that if $[{\Delta}(x),T(x)]{\in}Z(R)$ for all $x{\in}I$, then R is a commutative ring.

Adsorption of Cu(II) Ions onto Myristica Fragrans Shell-based Activated Carbon: Isotherm, Kinetic and Thermodynamic Studies

  • Syahiddin, D.S.;Muslim, A.
    • Journal of the Korean Chemical Society
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    • v.62 no.2
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    • pp.79-86
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    • 2018
  • This study reported the adsorption of Cu(II) ions onto activated carbon prepared from Myristica Fragrans shell (MFS AC) over independent variables of contact time, activating chemical (NaOH) concentration, initial adsorbate concentration, initial pH of adsorbate solution and adsorption temperature. The MFS AC structure, morphology and total surface area were characterized by FTIR, SEM and BET techniques, respectively. The Cu(II) ions adsorption on the MFS AC (activated using 0.5 M NaOH) fitted best to Freundlich adsorption isotherm (FAI), and the FAI constant obtained was 0.845 L/g at $30^{\circ}C$ and pH 4.5. It followed the pseudo first order of adsorption kinetic (PFOAK) model, and the PFOAK based adsorption capacity was 107.65 mg/g. Thermodynamic study confirmed the Cu(II) ions adsorption should be exothermic and non-spontaneous process, physical adsorption should be taken place. The total surface area and pore volume based on BET analysis was $99.85m^2/g$ and 0.086 cc/g, respectively.

Low-Power-Adaptive MC-CDMA Receiver Architecture

  • Hasan, Mohd.;Arslan, Tughrul;Thompson, John S.
    • ETRI Journal
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    • v.29 no.1
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    • pp.79-88
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    • 2007
  • This paper proposes a novel concept of adjusting the hardware size in a multi-carrier code division multiple access (MC-CDMA) receiver in real time as per the channel parameters such as delay spread, signal-to-noise ratio, transmission rate, and Doppler frequency. The fast Fourier transform (FFT) or inverse FFT (IFFT) size in orthogonal frequency division multiplexing (OFDM)/MC-CDMA transceivers varies from 1024 points to 16 points. Two low-power reconfigurable radix-4 256-point FFT processor architectures are proposed that can also be dynamically configured as 64-point and 16-point as per the channel parameters to prove the concept. By tailoring the clock of the higher FFT stages for longer FFTs and switching to shorter FFTs from longer FFTs, significant power saving is achieved. In addition, two 256 sub-carrier MC-CDMA receiver architectures are proposed which can also be configured for 64 sub-carriers in real time to prove the feasibility of the concept over the whole receiver.

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Synthesis and Physicochemical Properties of Schiff Base Macrocyclic Ligands and Their Transition Metal Chelates

  • Rafat, Fouzia;Siddiqi, K.S.
    • Journal of the Korean Chemical Society
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    • v.55 no.6
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    • pp.912-918
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    • 2011
  • Tetraaza Schiff base macrocyclic ligands, $L^1$,$L^2$ and their transition metal chelates have been synthesized and characterized by elemental analyses, IR, electronic, EPR and $^1H$ NMR spectra, TGA and magnetic measurements. The molar conductance of one milli-molar solution of the complexes measured in DMF indicates that the divalent metal complexes are nonelectrolyte while those of trivalent metal ion, are 1:1 electrolytic in the same solvent. The reduction of Racah parameter from the free ion value confirms the presence of considerable covalence of metal ligand sigma bond in the Co(II) and Mn(II) complexes. The EPR spectra of Cu(II) complexes at room temperature shows axial symmetry indicating a $d_x{^2}_{-y}{^2}$ ground state with significant covalent character. The thermal analysis suggests that the complexes do not contain water molecules because only the metal is left as residue.

Derivations with Power Values on Lie Ideals in Rings and Banach Algebras

  • Rehman, Nadeem ur;Muthana, Najat Mohammed;Raza, Mohd Arif
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.397-408
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    • 2016
  • Let R be a 2-torsion free prime ring with center Z, U be the Utumi quotient ring, Q be the Martindale quotient ring of R, d be a derivation of R and L be a Lie ideal of R. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v{\in}L$, where m, n, l are xed positive integers, then $L{\subseteq}Z$. We also examine the case when R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.

REMARKS ON GENERALIZED JORDAN (α, β)*-DERIVATIONS OF SEMIPRIME RINGS WITH INVOLUTION

  • Hongan, Motoshi;Rehman, Nadeem ur
    • Communications of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.73-83
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    • 2018
  • Let R be an associative ring with involution * and ${\alpha},{\beta}:R{\rightarrow}R$ ring homomorphisms. An additive mapping $d:R{\rightarrow}R$ is called an $({\alpha},{\beta})^*$-derivation of R if $d(xy)=d(x){\alpha}(y^*)+{\beta}(x)d(y)$ is fulfilled for any $x,y{\in}R$, and an additive mapping $F:R{\rightarrow}R$ is called a generalized $({\alpha},{\beta})^*$-derivation of R associated with an $({\alpha},{\beta})^*$-derivation d if $F(xy)=F(x){\alpha}(y^*)+{\beta}(x)d(y)$ is fulfilled for all $x,y{\in}R$. In this note, we intend to generalize a theorem of Vukman [12], and a theorem of Daif and El-Sayiad [6], moreover, we generalize a theorem of Ali et al. [4] and a theorem of Huang and Koc [9] related to generalized Jordan triple $({\alpha},{\beta})^*$-derivations.

Lipid Extraction from Spirulina platensis using Microwave for Biodiesel Production

  • Kalsum, Ummu;Kusuma, Heri Septya;Roesyadi, Achmad;Mahfud, Mahfud
    • Korean Chemical Engineering Research
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    • v.57 no.2
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    • pp.301-304
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    • 2019
  • Microwave was designed for lipid extraction from green algae (Spirulina platensis). Microalgae-solvent (various solvents) were extracted and heated using microwave at 600 W for around 40 min. The maximum yield obtained within this period was 12.530% of lipid compared to just 1.293% for Soxhlet extraction. Lipid analysis revealed that those with higher essential fatty acid content consist of saturated fatty acid (SAFA) and polyunsaturated fatty acid (PUFA) which could be used for biodiesel production.

Slaughter practices of different faiths in different countries

  • Aghwan, Zeiad Amjad;Regenstein, Joe Mac
    • Journal of Animal Science and Technology
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    • v.61 no.3
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    • pp.111-121
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    • 2019
  • This paper reviews many aspects of ritual and traditional slaughter methods used to produce meat for human consumption in different countries. Undoubtedly, meat is an important source of nutrients that are essential for human health. The global meat market has become increasingly interested in Islamic halal and Jewish kosher slaughter, in particular because of potential market opportunities. The requirement for unstunned slaughter or reversible pre-slaughter stunning makes religiously-based methods of animal slaughter unique. This study suggests a simple framework for a halal and tayyib meat supply chain for the Muslim community that also maintains meat quality and wholesomeness from farm to table as a model for the religious slaughter of animals.

A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED 𝜏-HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Khan, Owais;Khan, Nabiullah;Choi, Junesang;Nisar, Kottakkaran Sooppy
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.2
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    • pp.381-392
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    • 2021
  • During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended 𝜏 -hypergeometric function and the (p, q)-extended 𝜏 -confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, P𝛘-transform, and an alternative method.