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      • SCIESCOPUSKCI등재

        EXTENSIONS OF MULTIPLE LAURICELLA AND HUMBERT'S CONFLUENT HYPERGEOMETRIC FUNCTIONS THROUGH A HIGHLY GENERALIZED POCHHAMMER SYMBOL AND THEIR RELATED PROPERTIES

        Ritu Agarwal,Junesang Choi,Naveen Kumar,Rakesh K. Parmar Korean Mathematical Society 2023 대한수학회보 Vol.60 No.3

        Motivated by several generalizations of the Pochhammer symbol and their associated families of hypergeometric functions and hypergeometric polynomials, by choosing to use a very generalized Pochhammer symbol, we aim to introduce certain extensions of the generalized Lauricella function F<sup>(n)</sup><sub>A</sub> and the Humbert's confluent hypergeometric function Ψ<sup>(n)</sup> of n variables with, as their respective particular cases, the second Appell hypergeometric function F<sub>2</sub> and the generalized Humbert's confluent hypergeometric functions Ψ<sub>2</sub> and investigate their several properties including, for example, various integral representations, finite summation formulas with an s-fold sum and integral representations involving the Laguerre polynomials, the incomplete gamma functions, and the Bessel and modified Bessel functions. Also, pertinent links between the major identities discussed in this article and different (existing or novel) findings are revealed.

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        Endoscopic Ultrasound-Guided Random Omental Fine Needle Aspiration: A Novel Technique for the Diagnosis of Peritoneal Carcinomatosis

        Pradeep Kumar Siddappa,Neha Jain,Naveen K. Agarwal,Monika Jain,Gurwant Singh Lamba 대한소화기내시경학회 2020 Clinical Endoscopy Vol.53 No.5

        Background/Aims: Diagnostic abdominal paracentesis has been described in literature to have variable sensitivity of 50%–75% forthe detection of peritoneal carcinomatosis (PC). We believe that random needle aspirates from the omentum, even in the absence ofobvious deposits by endoscopic ultrasound (EUS), could prove malignancy in patients with PC. Methods: Consecutive patients who underwent EUS for diagnosis and staging of cancer and found to have ascites were includedafter obtaining informed consent. EUS-guided fine needle aspiration (EUS-FNA) from random sites in the omentum was performedthrough the transgastric route using a linear echoendoscope. Results: Fifty-four patients underwent EUS during October 2015 to April 2017 for detection, staging, or FNA of a suspectedmalignant lesion. Ascites was seen in 17 patients and 15 patients who fulfilled the criteria were included. The procedure wassuccessful in all patients. Cytology was suggestive of malignancy in 12 (80%) but not suggestive of malignancy in 3 (20%) patients. Three patients who tested negative had hyperbilirubinemia with biliary obstruction. Their ascitic fluid analysis result was alsonegative. Conclusions: Random FNA of the omentum in patients with malignancy-related ascites is highly effective in the diagnosis of PC andcould be employed during EUS evaluation of malignancies.

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